TSTP Solution File: GRP367-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP367-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:06:22 EDT 2024
% Result : Unsatisfiable 0.22s 0.58s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 46
% Syntax : Number of formulae : 1903 ( 19 unt; 0 def)
% Number of atoms : 8339 (1924 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 11585 (5149 ~;6424 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 564 ( 564 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4705,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f158,f172,f626,f745,f1282,f1332,f1463,f2181,f2343,f2355,f2357,f2359,f2361,f2363,f2365,f2367,f2369,f2371,f2373,f2375,f2377,f2379,f2381,f2383,f2385,f2388,f2390,f2392,f2394,f2396,f2398,f2400,f2402,f2404,f2406,f2408,f2410,f2412,f2414,f2416,f2418,f2420,f2422,f2424,f2426,f2428,f2430,f2432,f2434,f2436,f2439,f2441,f2443,f2445,f2447,f2449,f2451,f2453,f2455,f2457,f2459,f2461,f2463,f2465,f2467,f2469,f2471,f2473,f2476,f2478,f2480,f2482,f2484,f2885,f2895,f3135,f3143,f3150,f3157,f3163,f3169,f3174,f3179,f3184,f3189,f3192,f3196,f3200,f3208,f3215,f3222,f3268,f3275,f3281,f3287,f3292,f3297,f3301,f3305,f3309,f3313,f3315,f3318,f3321,f3328,f3334,f3340,f3517,f3537,f3542,f3546,f3548,f3550,f3552,f3554,f3556,f3618,f3638,f3644,f3649,f3655,f3662,f3664,f3666,f3668,f3673,f3678,f3683,f3685,f3687,f3726,f3728,f3731,f3734,f3736,f3738,f3740,f3742,f3745,f3747,f3750,f3752,f3754,f3756,f3783,f3803,f3806,f3809,f3811,f3813,f3816,f3818,f3820,f3823,f3826,f3828,f3830,f3832,f3834,f3836,f3838,f3840,f3843,f3846,f3849,f3852,f3854,f3857,f3859,f3862,f3864,f3867,f3870,f3873,f3875,f3877,f3879,f3881,f3883,f3885,f3887,f3889,f3891,f3893,f3895,f3897,f3899,f3901,f3903,f3905,f3907,f3909,f3911,f3913,f3915,f3917,f3919,f3922,f3924,f3926,f3928,f3930,f3932,f3934,f3936,f3938,f3940,f3942,f3944,f3946,f4130,f4148,f4150,f4152,f4154,f4156,f4158,f4160,f4162,f4164,f4166,f4169,f4171,f4173,f4175,f4178,f4181,f4184,f4187,f4190,f4193,f4196,f4199,f4202,f4204,f4206,f4208,f4210,f4212,f4214,f4216,f4218,f4220,f4222,f4224,f4226,f4228,f4230,f4232,f4234,f4236,f4238,f4240,f4242,f4245,f4249,f4253,f4257,f4265,f4268,f4271,f4274,f4277,f4279,f4282,f4284,f4450,f4452,f4454,f4456,f4458,f4460,f4462,f4464,f4466,f4468,f4470,f4472,f4474,f4476,f4478,f4480,f4482,f4484,f4486,f4488,f4490,f4492,f4494,f4496,f4498,f4500,f4502,f4504,f4506,f4508,f4510,f4512,f4514,f4516,f4518,f4520,f4522,f4524,f4526,f4528,f4530,f4532,f4534,f4536,f4538,f4540,f4542,f4544,f4546,f4548,f4550,f4552,f4555,f4558,f4561,f4564,f4566,f4568,f4570,f4572,f4574,f4576,f4578,f4580,f4582,f4584,f4586,f4588,f4590,f4592,f4594,f4596,f4598,f4600,f4602,f4604,f4606,f4608,f4610,f4612,f4614,f4616,f4618,f4620,f4622,f4624,f4626,f4628,f4630,f4632,f4634,f4636,f4638,f4640,f4642,f4644,f4646,f4648,f4650,f4652,f4654,f4656,f4658,f4660,f4662,f4664,f4666,f4668,f4670,f4673,f4676,f4678,f4680,f4682,f4684,f4686,f4688,f4691,f4694,f4697,f4699,f4701,f4704]) ).
fof(f4704,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4703]) ).
fof(f4703,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4702,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f3959,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25]) ).
fof(f3952,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f25,f5,f30,f31,f33,f38,f46,f75,f27,f3950,f28,f3951,f26]) ).
fof(f3951,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f25,f5,f30,f31,f33,f26,f38,f46,f75,f27,f3950,f28]) ).
fof(f3950,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f25,f5,f30,f31,f33,f26,f28,f38,f46,f75,f27]) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c3)
| spl0_1 ),
inference(subsumption_resolution,[],[f30,f38]) ).
fof(f75,plain,
( sk_c6 = sk_c7
| spl0_1 ),
inference(superposition,[],[f72,f48]) ).
fof(f38,plain,
( sk_c8 != inverse(sk_c4)
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f30,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f170,plain,
( sk_c6 != inverse(sk_c3)
| spl0_6 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl0_6
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4144,plain,
identity = inverse(identity),
inference(superposition,[],[f410,f2145]) ).
fof(f4141,plain,
identity = inverse(identity),
inference(superposition,[],[f2145,f410]) ).
fof(f658,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f61,f409]) ).
fof(f4147,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f4143,f1]) ).
fof(f4143,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f2145]) ).
fof(f4142,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f61,f2145]) ).
fof(f2145,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f61,f410]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f33,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f29,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f3570,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31]) ).
fof(f3569,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f3567,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26]) ).
fof(f3566,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28]) ).
fof(f3565,plain,
( sk_c7 = inverse(sk_c5)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f3560,f11,f3562,f12,f3564,f27]) ).
fof(f3564,plain,
( sk_c7 = inverse(sk_c5)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f3560,f11,f3562,f12]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f3562,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f12,f13,f3560,f11]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f3560,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f170,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f12,f11,f13]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f18,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f16,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f14,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f35,plain,
! [X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,X3)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(X4,sk_c8) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f2156,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f2146,f1]) ).
fof(f2146,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f410]) ).
fof(f410,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f61,f2]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f409,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f61,f1]) ).
fof(f423,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f61,f61]) ).
fof(f412,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f61,f3]) ).
fof(f61,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c4,multiply(sk_c6,X0))
| spl0_6 ),
inference(superposition,[],[f182,f179]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| spl0_6 ),
inference(superposition,[],[f3,f180]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_6 ),
inference(superposition,[],[f3,f178]) ).
fof(f186,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| spl0_6 ),
inference(superposition,[],[f3,f184]) ).
fof(f184,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_6 ),
inference(subsumption_resolution,[],[f33,f170]) ).
fof(f180,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_6 ),
inference(subsumption_resolution,[],[f31,f170]) ).
fof(f178,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| spl0_6 ),
inference(subsumption_resolution,[],[f29,f170]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f77,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| spl0_1 ),
inference(superposition,[],[f3,f72]) ).
fof(f76,plain,
( sk_c6 = sk_c7
| spl0_1 ),
inference(superposition,[],[f48,f72]) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| spl0_1 ),
inference(superposition,[],[f65,f51]) ).
fof(f65,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f60,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f3,f47]) ).
fof(f58,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| spl0_1 ),
inference(superposition,[],[f3,f49]) ).
fof(f57,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c2,X0)
| spl0_1 ),
inference(superposition,[],[f3,f50]) ).
fof(f56,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| spl0_1 ),
inference(superposition,[],[f3,f48]) ).
fof(f55,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f51,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f25,f38]) ).
fof(f50,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f38]) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| spl0_1 ),
inference(subsumption_resolution,[],[f10,f38]) ).
fof(f48,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| spl0_1 ),
inference(subsumption_resolution,[],[f5,f38]) ).
fof(f47,plain,
( identity = multiply(sk_c6,sk_c3)
| spl0_1 ),
inference(superposition,[],[f2,f46]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f4702,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f744,f1462]) ).
fof(f1462,plain,
( sk_c8 = sk_c7
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1460,plain,
( spl0_12
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f744,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl0_10
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4701,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f4700]) ).
fof(f4700,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_10 ),
inference(global_subsumption,[],[f1337,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f1337,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f691,f744]) ).
fof(f691,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f419,f61]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(superposition,[],[f61,f175]) ).
fof(f175,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f174,f1]) ).
fof(f174,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f167]) ).
fof(f167,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f4699,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4698]) ).
fof(f4698,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1474,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f1474,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f744,f1462]) ).
fof(f4697,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4696]) ).
fof(f4696,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4695,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4695,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2486,f1462]) ).
fof(f2486,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f744,f1338,f1421,f1422,f410,f2145,f2156,f658,f16,f21,f1339,f2102,f6,f11,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f2102,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f35,f744]) ).
fof(f1339,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f744]) ).
fof(f1422,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f1338]) ).
fof(f1421,plain,
( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f61,f1338]) ).
fof(f1338,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f61,f744]) ).
fof(f4694,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4693]) ).
fof(f4693,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4692,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4692,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2491,f1462]) ).
fof(f2491,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f744,f1338,f1421,f1422,f410,f2145,f2156,f658,f16,f21,f1339,f2102,f6,f11,f19,f23,f18,f9,f2486,f13,f35,f8,f14]) ).
fof(f4691,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4690]) ).
fof(f4690,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4689,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4689,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2494,f1462]) ).
fof(f2494,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f744,f1338,f1421,f1422,f410,f2145,f2156,f658,f16,f21,f1339,f2102,f6,f11,f9,f2486,f13,f35,f8,f14,f2491,f18,f23,f19]) ).
fof(f4688,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4687]) ).
fof(f4687,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4191,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4191,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2491,f1462]) ).
fof(f4686,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4685]) ).
fof(f4685,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4194,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4194,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2486,f1462]) ).
fof(f4684,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4683]) ).
fof(f4683,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4200,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4200,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f744,f1462]) ).
fof(f4682,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4681]) ).
fof(f4681,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4182,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4182,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3571,f1462]) ).
fof(f3571,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f61,f412,f423,f409,f4,f1338,f1421,f1422,f410,f2145,f2156,f658,f1339,f2102,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f2494,f2491,f2486,f744,f13,f11,f12,f27,f28,f26,f24,f3568,f33,f31,f29]) ).
fof(f3568,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f32,f61,f412,f423,f33,f31,f29,f409,f4,f1338,f1421,f1422,f410,f2145,f2156,f658,f1339,f2102,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f2494,f2491,f2486,f744,f13,f11,f12,f27,f28,f26,f24]) ).
fof(f4680,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4679]) ).
fof(f4679,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4185,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4185,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3568,f1462]) ).
fof(f4678,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4677]) ).
fof(f4677,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4188,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4188,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2494,f1462]) ).
fof(f4676,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4675]) ).
fof(f4675,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4674,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4674,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3568,f1462]) ).
fof(f4673,plain,
( spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4672]) ).
fof(f4672,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4671,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4671,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3571,f1462]) ).
fof(f4670,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4669]) ).
fof(f4669,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4290,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4290,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| sk_c6 = inverse(sk_c3)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f29,f1462]) ).
fof(f4668,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4667]) ).
fof(f4667,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4292,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4292,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f24,f1462]) ).
fof(f4666,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4665]) ).
fof(f4665,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4294,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4294,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| sk_c8 = inverse(sk_c1)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f19,f1462]) ).
fof(f4664,plain,
( spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4663]) ).
fof(f4663,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4302,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4302,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f3847,f3947,f3844,f3948,f3841,f27,f28,f26,f33,f31,f30,f5,f3824,f3957,f3821,f25,f3814,f23,f22,f3807,f3804,f21,f1462,f2145,f4142,f4147,f4263,f4255,f4251,f4247,f4243,f75,f38,f46,f4179,f4176,f3950,f3951,f3952,f4167,f3958,f3959,f3960,f3964,f658,f4141,f4144,f4290,f4292,f4294,f4297,f4298,f4301]) ).
fof(f4301,plain,
( sk_c8 = multiply(sk_c8,identity)
| sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4300,f1462]) ).
fof(f4300,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4299,f1458]) ).
fof(f4299,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f9,f1462]) ).
fof(f4298,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4297,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f3847,f3947,f3844,f3948,f3841,f27,f28,f26,f33,f31,f30,f5,f3824,f3957,f3821,f25,f3814,f23,f22,f3807,f3804,f21,f2145,f4142,f4147,f75,f38,f46,f3950,f3951,f3952,f3958,f3959,f3960,f3964,f658,f4141,f4144]) ).
fof(f4297,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| identity = multiply(sk_c1,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4296,f1462]) ).
fof(f4296,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f14,f1458]) ).
fof(f3964,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_1
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f21,f38,f46,f75,f3847,f3947,f3844,f3948,f3841,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f3824,f3957,f3821,f3958,f25,f3959,f3814,f3960,f23,f22,f3807,f3804]) ).
fof(f3960,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_1
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f21,f3804,f3807,f22,f23,f38,f46,f75,f3847,f3947,f3844,f3948,f3841,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f3824,f3957,f3821,f3958,f25,f3959,f3814]) ).
fof(f3958,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_1
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f21,f3804,f3807,f22,f23,f3814,f25,f38,f46,f75,f3847,f3947,f3844,f3948,f3841,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f3824,f3957,f3821]) ).
fof(f4167,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3957,f1462]) ).
fof(f4176,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3948,f1462]) ).
fof(f4179,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3947,f1462]) ).
fof(f4243,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c4)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f5,f1462]) ).
fof(f4247,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4246,f1462]) ).
fof(f4246,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f7,f1462]) ).
fof(f4251,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4250,f1462]) ).
fof(f4250,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6,f1462]) ).
fof(f4255,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4254,f1462]) ).
fof(f4254,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f8,f1462]) ).
fof(f4263,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X6,sk_c8)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4262,f1462]) ).
fof(f4262,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4261,f1462]) ).
fof(f4261,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4260,f1462]) ).
fof(f4260,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4259,f1462]) ).
fof(f4259,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4258,f1462]) ).
fof(f4258,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f35,f1462]) ).
fof(f3804,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f16,f1458]) ).
fof(f3807,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c5)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f17,f1458]) ).
fof(f3814,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f18,f1458]) ).
fof(f3821,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f15,f1458]) ).
fof(f3957,plain,
( sk_c7 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f21,f3804,f3807,f22,f23,f3814,f25,f3821,f38,f46,f75,f3847,f3947,f3844,f3948,f3841,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f3824]) ).
fof(f3824,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f10,f1458]) ).
fof(f3841,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c7 = inverse(sk_c5)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f12,f1458]) ).
fof(f3948,plain,
( sk_c7 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f21,f3804,f3807,f22,f23,f3814,f25,f3821,f3824,f5,f30,f31,f33,f26,f28,f27,f3841,f38,f46,f75,f3847,f3947,f3844]) ).
fof(f3844,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f11,f1458]) ).
fof(f3947,plain,
( sk_c7 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f1458,f21,f3804,f3807,f22,f23,f3814,f25,f3821,f3824,f5,f30,f31,f33,f26,f28,f27,f3841,f3844,f38,f46,f75,f3847]) ).
fof(f3847,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f13,f1458]) ).
fof(f1458,plain,
( identity = sk_c2
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1456,plain,
( spl0_11
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f4662,plain,
( spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4661]) ).
fof(f4661,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4298,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4660,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4659]) ).
fof(f4659,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4289,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4289,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f1476,f1477,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2891,f2497,f2490,f740,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f3956,f25,f23,f22,f21,f3062,f3039,f3014,f3086,f2764,f2692,f2787,f1462,f2145,f4142,f4147,f4144,f4141,f658,f4263,f4255,f4286,f4251,f4287,f4247,f4243]) ).
fof(f4287,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f1476,f1477,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2891,f2497,f2490,f740,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f3956,f25,f23,f22,f21,f3062,f3039,f3014,f3086,f2764,f2692,f2787,f1462,f2145,f4142,f4147,f4144,f4141,f658,f4243,f4247,f4263,f4255,f4286,f4251]) ).
fof(f4286,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f1476,f1477,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2891,f2497,f2490,f740,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f3956,f25,f23,f22,f21,f3062,f3039,f3014,f3086,f2764,f2692,f2787,f1462,f2145,f4142,f4147,f4144,f4141,f658,f4243,f4247,f4251,f4263,f4255]) ).
fof(f2787,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2497,f1462]) ).
fof(f2692,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f740,f1462]) ).
fof(f2764,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2490,f1462]) ).
fof(f3086,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2891,f1462]) ).
fof(f3014,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f740,f1462]) ).
fof(f3039,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2490,f1462]) ).
fof(f3062,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2497,f1462]) ).
fof(f3956,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2891,f2497,f2490,f740,f13,f11,f12,f24,f29,f21,f22,f23,f25,f27,f28,f26,f33,f31,f30,f5]) ).
fof(f740,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f738,plain,
( spl0_9
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2490,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_9 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f410,f2145,f2156,f658,f16,f21,f740,f6,f11,f19,f23,f18,f14,f9,f13,f35,f8]) ).
fof(f2497,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_9 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f410,f2145,f2156,f658,f16,f21,f740,f9,f13,f35,f8,f2490,f14,f18,f23,f19,f11,f6]) ).
fof(f2891,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f410,f2145,f2156,f658,f16,f21,f9,f13,f35,f8,f2490,f14,f18,f23,f19,f11,f6,f2497,f740,f22,f17,f12,f7]) ).
fof(f1477,plain,
( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f757,f1462]) ).
fof(f1476,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f747,f1462]) ).
fof(f901,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(inverse(inverse(sk_c6)))),multiply(sk_c8,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f768]) ).
fof(f900,plain,
( sk_c8 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c6))))),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f61,f768]) ).
fof(f768,plain,
( sk_c7 = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f61,f757]) ).
fof(f776,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f61,f748]) ).
fof(f748,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_9 ),
inference(superposition,[],[f3,f740]) ).
fof(f769,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f757]) ).
fof(f757,plain,
( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f61,f755]) ).
fof(f758,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c8,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f755]) ).
fof(f755,plain,
( sk_c7 = multiply(inverse(inverse(sk_c6)),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f61,f747]) ).
fof(f756,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f747]) ).
fof(f747,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f61,f740]) ).
fof(f4658,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4657]) ).
fof(f4657,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4287,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4656,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4655]) ).
fof(f4655,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4286,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4654,plain,
( spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4653]) ).
fof(f4653,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4179,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4652,plain,
( spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4651]) ).
fof(f4651,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4176,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4650,plain,
( spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4649]) ).
fof(f4649,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4167,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4648,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4647]) ).
fof(f4647,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4085,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4085,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3956,f1462]) ).
fof(f4646,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4645]) ).
fof(f4645,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4053,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4053,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2891,f1462]) ).
fof(f4644,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4643]) ).
fof(f4643,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4044,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4044,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2497,f1462]) ).
fof(f4642,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4641]) ).
fof(f4641,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4033,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4033,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2490,f1462]) ).
fof(f4640,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4639]) ).
fof(f4639,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4014,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4014,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f740,f1462]) ).
fof(f4638,plain,
( spl0_1
| spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4637]) ).
fof(f4637,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11 ),
inference(global_subsumption,[],[f3964,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4636,plain,
( spl0_1
| spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4635]) ).
fof(f4635,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11 ),
inference(global_subsumption,[],[f3960,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4634,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4633]) ).
fof(f4633,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f170,f30,f38,f75,f46,f3950,f3951,f3952,f3959]) ).
fof(f4632,plain,
( spl0_1
| spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4631]) ).
fof(f4631,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_11 ),
inference(global_subsumption,[],[f3958,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f170,f30,f38,f75,f46,f3950,f3951,f3952]) ).
fof(f4630,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4629]) ).
fof(f4629,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f170,f30,f38,f75,f46,f3950,f3951,f3952]) ).
fof(f4628,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4627]) ).
fof(f4627,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f170,f30,f38,f75,f46,f3950,f3951]) ).
fof(f4626,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4625]) ).
fof(f4625,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f170,f30,f38,f75,f46,f3950]) ).
fof(f4624,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4623]) ).
fof(f4623,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f3086,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4622,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4621]) ).
fof(f4621,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f3062,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4620,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4619]) ).
fof(f4619,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f3039,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4618,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4617]) ).
fof(f4617,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f3014,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4616,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4615]) ).
fof(f4615,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f2787,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4614,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4613]) ).
fof(f4613,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f2764,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4612,plain,
( spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4611]) ).
fof(f4611,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f2692,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4610,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4609]) ).
fof(f4609,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f2514,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f2514,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f1428,f1462]) ).
fof(f1428,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1424,f690]) ).
fof(f690,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_5 ),
inference(superposition,[],[f419,f436]) ).
fof(f436,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f61,f173]) ).
fof(f1424,plain,
( inverse(sk_c7) = multiply(sk_c5,identity)
| ~ spl0_5 ),
inference(superposition,[],[f691,f1012]) ).
fof(f1012,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_5 ),
inference(superposition,[],[f823,f2]) ).
fof(f823,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
| ~ spl0_5 ),
inference(superposition,[],[f653,f691]) ).
fof(f653,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f652,f1]) ).
fof(f652,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f635]) ).
fof(f635,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f61,f436]) ).
fof(f4608,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4607]) ).
fof(f4607,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f1490,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f1490,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f1428,f1462]) ).
fof(f4606,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4605]) ).
fof(f4605,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4009,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4009,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1428,f1462]) ).
fof(f4604,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4603]) ).
fof(f4603,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f3011,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f3011,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1428,f1462]) ).
fof(f4602,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4601]) ).
fof(f4601,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4288,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4288,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f173,f175,f61,f412,f423,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1012,f1429,f410,f2156,f1472,f1465,f1471,f1464,f9,f35,f8,f14,f19,f6,f2499,f2500,f2506,f2507,f7,f16,f17,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f11,f12,f24,f29,f1428,f167,f1458,f3847,f3844,f3841,f3949,f27,f28,f26,f33,f31,f30,f5,f3824,f3821,f25,f3814,f23,f22,f3807,f3963,f3804,f21,f1462,f2145,f4142,f4147,f4144,f4141,f658,f2514,f1490,f3011,f4009,f3988,f3978,f3974,f4243,f4263,f4255,f4251,f4247]) ).
fof(f3974,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f167,f1462]) ).
fof(f3978,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3949,f1462]) ).
fof(f3988,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3963,f1462]) ).
fof(f3963,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f3807,f1,f2,f20,f3,f15,f10,f32,f173,f175,f61,f412,f423,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f11,f12,f24,f29,f1428,f167,f21,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22]) ).
fof(f3949,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f3841,f1,f2,f20,f3,f15,f10,f32,f173,f175,f61,f412,f423,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f11,f12,f24,f29,f1428,f167,f21,f22,f23,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3434,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f1428]) ).
fof(f3433,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f61,f1428]) ).
fof(f3435,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f3432,f167]) ).
fof(f3432,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl0_5 ),
inference(superposition,[],[f410,f1428]) ).
fof(f3408,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f167]) ).
fof(f3407,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f61,f167]) ).
fof(f3406,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f410,f167]) ).
fof(f2507,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f691,f1462]) ).
fof(f2506,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f689,f1462]) ).
fof(f2500,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f175,f1462]) ).
fof(f2499,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f173,f1462]) ).
fof(f1464,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f173,f1462]) ).
fof(f1471,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f689,f1462]) ).
fof(f1465,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f175,f1462]) ).
fof(f1472,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f691,f1462]) ).
fof(f1429,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1425,f436]) ).
fof(f1425,plain,
( inverse(sk_c7) = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f61,f1012]) ).
fof(f1019,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_5 ),
inference(superposition,[],[f2,f823]) ).
fof(f1020,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f61,f823]) ).
fof(f896,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f895,f1]) ).
fof(f895,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f762]) ).
fof(f894,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c7))))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f61,f762]) ).
fof(f762,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f61,f651]) ).
fof(f834,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f833,f1]) ).
fof(f833,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f829]) ).
fof(f832,plain,
( sk_c7 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f61,f829]) ).
fof(f829,plain,
( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f61,f825]) ).
fof(f831,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f830,f1]) ).
fof(f830,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f825]) ).
fof(f825,plain,
( sk_c7 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_5 ),
inference(superposition,[],[f653,f689]) ).
fof(f826,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
| ~ spl0_5 ),
inference(superposition,[],[f61,f653]) ).
fof(f764,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f763,f1]) ).
fof(f763,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f651]) ).
fof(f651,plain,
( sk_c5 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f61,f635]) ).
fof(f698,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_5 ),
inference(superposition,[],[f175,f689]) ).
fof(f702,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f700,f1]) ).
fof(f700,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f689]) ).
fof(f701,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f699,f167]) ).
fof(f699,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl0_5 ),
inference(superposition,[],[f61,f689]) ).
fof(f689,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f419,f2]) ).
fof(f696,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f61,f419]) ).
fof(f695,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_5 ),
inference(superposition,[],[f436,f419]) ).
fof(f693,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f61,f419]) ).
fof(f692,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f419]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f636,f1]) ).
fof(f636,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f436]) ).
fof(f4600,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4599]) ).
fof(f4599,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3988,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4598,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4597]) ).
fof(f4597,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3978,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4596,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4595]) ).
fof(f4595,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f3974,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4594,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4593]) ).
fof(f4593,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f3965,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f3965,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f43,f23,f3961,f22,f3962,f21]) ).
fof(f3962,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f27,f28,f26,f33,f31,f30,f5,f25,f43,f23,f3961,f22]) ).
fof(f3961,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f27,f28,f26,f33,f31,f30,f5,f25,f43,f23]) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f417,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(superposition,[],[f61,f64]) ).
fof(f438,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f61,f45]) ).
fof(f64,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f59,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f45]) ).
fof(f45,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f4592,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4591]) ).
fof(f4591,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f3962,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4590,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4589]) ).
fof(f4589,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f3961,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4588,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4587]) ).
fof(f4587,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f170,f30,f38,f75,f46]) ).
fof(f4586,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4585]) ).
fof(f4585,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f43,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f170,f30,f38,f75]) ).
fof(f4584,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4583]) ).
fof(f4583,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f78,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f170,f30,f38,f75]) ).
fof(f78,plain,
( sk_c6 = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f75,f69]) ).
fof(f69,plain,
( sk_c8 = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f66,f49]) ).
fof(f66,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f50]) ).
fof(f4582,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4581]) ).
fof(f4581,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f170,f30,f38,f75]) ).
fof(f4580,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4579]) ).
fof(f4579,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f170,f30,f38]) ).
fof(f4578,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4577]) ).
fof(f4577,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f38,f170,f30]) ).
fof(f4576,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4575]) ).
fof(f4575,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4553,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f38,f30,f170]) ).
fof(f4553,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c3)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f31,f1462]) ).
fof(f4574,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4573]) ).
fof(f4573,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4556,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f38,f30,f170]) ).
fof(f4556,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c6 = inverse(sk_c3)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f33,f1462]) ).
fof(f4572,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4571]) ).
fof(f4571,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4559,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f38,f30,f170]) ).
fof(f4559,plain,
( sk_c8 = inverse(sk_c5)
| spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3565,f1462]) ).
fof(f4570,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4569]) ).
fof(f4569,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f4562,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f38,f30,f170]) ).
fof(f4562,plain,
( sk_c8 = inverse(sk_c5)
| spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3564,f1462]) ).
fof(f4568,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f4567]) ).
fof(f4567,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f410,f2156,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f3959,f3952,f3951,f3950,f46,f75,f38,f30,f170]) ).
fof(f4566,plain,
( spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4565]) ).
fof(f4565,plain,
( $false
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229,f30,f170]) ).
fof(f1229,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_10 ),
inference(subsumption_resolution,[],[f24,f743]) ).
fof(f743,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_10 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f848,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| spl0_10 ),
inference(subsumption_resolution,[],[f9,f743]) ).
fof(f1031,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| spl0_10 ),
inference(subsumption_resolution,[],[f14,f743]) ).
fof(f884,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| spl0_10 ),
inference(superposition,[],[f61,f852]) ).
fof(f852,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| spl0_10 ),
inference(superposition,[],[f3,f848]) ).
fof(f881,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c7,X0))
| spl0_10 ),
inference(superposition,[],[f3,f867]) ).
fof(f880,plain,
( sk_c7 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c2)
| spl0_10 ),
inference(superposition,[],[f61,f867]) ).
fof(f867,plain,
( sk_c2 = multiply(inverse(inverse(inverse(sk_c8))),sk_c7)
| spl0_10 ),
inference(superposition,[],[f61,f861]) ).
fof(f868,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0))
| spl0_10 ),
inference(superposition,[],[f3,f861]) ).
fof(f861,plain,
( sk_c7 = multiply(inverse(inverse(sk_c8)),sk_c2)
| spl0_10 ),
inference(superposition,[],[f61,f851]) ).
fof(f862,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| spl0_10 ),
inference(superposition,[],[f3,f851]) ).
fof(f851,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| spl0_10 ),
inference(superposition,[],[f61,f848]) ).
fof(f4564,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4563]) ).
fof(f4563,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4562,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229,f30]) ).
fof(f4561,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4560]) ).
fof(f4560,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4559,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229,f30]) ).
fof(f4558,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4557]) ).
fof(f4557,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4556,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229,f30]) ).
fof(f4555,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4554]) ).
fof(f4554,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4553,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229,f30]) ).
fof(f4552,plain,
( spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4551]) ).
fof(f4551,plain,
( $false
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229,f30]) ).
fof(f4550,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4549]) ).
fof(f4549,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f38,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4548,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4547]) ).
fof(f4547,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f75,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4546,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4545]) ).
fof(f4545,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f78,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4544,plain,
( ~ spl0_2
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4543]) ).
fof(f4543,plain,
( $false
| ~ spl0_2
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f43,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4542,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4541]) ).
fof(f4541,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f46,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4540,plain,
( ~ spl0_2
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4539]) ).
fof(f4539,plain,
( $false
| ~ spl0_2
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3961,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4538,plain,
( ~ spl0_2
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4537]) ).
fof(f4537,plain,
( $false
| ~ spl0_2
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3962,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4536,plain,
( ~ spl0_2
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4535]) ).
fof(f4535,plain,
( $false
| ~ spl0_2
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3965,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4534,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4533]) ).
fof(f4533,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3974,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4532,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4531]) ).
fof(f4531,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3978,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4530,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4529]) ).
fof(f4529,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3988,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4528,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4527]) ).
fof(f4527,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4288,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4526,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4525]) ).
fof(f4525,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4291,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4291,plain,
( sk_c6 = inverse(sk_c3)
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4290,f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144]) ).
fof(f4524,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4523]) ).
fof(f4523,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4295,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4295,plain,
( sk_c8 = inverse(sk_c1)
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4294,f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144]) ).
fof(f4522,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4521]) ).
fof(f4521,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3011,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4520,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4519]) ).
fof(f4519,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4009,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4518,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4517]) ).
fof(f4517,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1490,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4516,plain,
( spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4515]) ).
fof(f4515,plain,
( $false
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4514,plain,
( ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4513]) ).
fof(f4513,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f2514,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4512,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4511]) ).
fof(f4511,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f2692,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4510,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4509]) ).
fof(f4509,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f2764,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4508,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4507]) ).
fof(f4507,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f2787,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4506,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4505]) ).
fof(f4505,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3014,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4504,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4503]) ).
fof(f4503,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3039,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4502,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4501]) ).
fof(f4501,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3062,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4500,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4499]) ).
fof(f4499,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3086,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4498,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4497]) ).
fof(f4497,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3950,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4496,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4495]) ).
fof(f4495,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3951,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4494,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4493]) ).
fof(f4493,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3952,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4492,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4491]) ).
fof(f4491,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f3958,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4490,plain,
( spl0_1
| spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4489]) ).
fof(f4489,plain,
( $false
| spl0_1
| spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f3959,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4488,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4487]) ).
fof(f4487,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f3960,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4486,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4485]) ).
fof(f4485,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f3964,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4484,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4483]) ).
fof(f4483,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4014,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4482,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4481]) ).
fof(f4481,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4033,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4480,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4479]) ).
fof(f4479,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4044,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4478,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4477]) ).
fof(f4477,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4053,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4476,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4475]) ).
fof(f4475,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4085,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4474,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4473]) ).
fof(f4473,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4167,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4472,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4471]) ).
fof(f4471,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4176,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4470,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4469]) ).
fof(f4469,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4179,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4468,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4467]) ).
fof(f4467,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4286,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4466,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4465]) ).
fof(f4465,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4287,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4464,plain,
( spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4463]) ).
fof(f4463,plain,
( $false
| spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4289,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4462,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4461]) ).
fof(f4461,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4293,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4293,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4292,f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144]) ).
fof(f4460,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4459]) ).
fof(f4459,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4298,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4458,plain,
( spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4457]) ).
fof(f4457,plain,
( $false
| spl0_1
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4302,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4456,plain,
( spl0_6
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4455]) ).
fof(f4455,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f4307,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4307,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1031,f1458]) ).
fof(f4454,plain,
( spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4453]) ).
fof(f4453,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4309,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4309,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4308,f1462]) ).
fof(f4308,plain,
( sk_c7 = multiply(sk_c8,identity)
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f848,f1458]) ).
fof(f4452,plain,
( spl0_6
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4451]) ).
fof(f4451,plain,
( $false
| spl0_6
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4310,f1,f2,f20,f3,f15,f10,f32,f178,f180,f184,f186,f179,f182,f206,f61,f412,f423,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2156,f1031,f848,f743,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f3560,f11,f3562,f12,f3564,f3565,f3566,f3567,f24,f3569,f3570,f29,f170,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f658,f4141,f4144,f1229]) ).
fof(f4310,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f743,f1462]) ).
fof(f4450,plain,
( ~ spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4449]) ).
fof(f4449,plain,
( $false
| ~ spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f4448,f4319]) ).
fof(f4319,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4317,f1230]) ).
fof(f1230,plain,
( identity = sk_c8
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1229,f713]) ).
fof(f713,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f644,f2]) ).
fof(f644,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f643,f1]) ).
fof(f643,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f629]) ).
fof(f629,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_6 ),
inference(superposition,[],[f61,f628]) ).
fof(f628,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f171]) ).
fof(f171,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f4317,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f1276,f1462]) ).
fof(f1276,plain,
( sk_c6 = sk_c7
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1243,f722]) ).
fof(f722,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_6 ),
inference(superposition,[],[f627,f713]) ).
fof(f627,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f61,f171]) ).
fof(f1243,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f740,f1230]) ).
fof(f4448,plain,
( identity != sk_c6
| ~ spl0_6
| spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4447,f1]) ).
fof(f4447,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl0_6
| spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4310,f1230]) ).
fof(f4284,plain,
( spl0_1
| ~ spl0_3
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4283]) ).
fof(f4283,plain,
( $false
| spl0_1
| ~ spl0_3
| spl0_9 ),
inference(global_subsumption,[],[f154,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f2348,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_9 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f13,f9,f410,f2145,f2156,f658,f16,f21,f739,f6,f2346,f11]) ).
fof(f2346,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_9 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f13,f11,f9,f410,f2145,f2156,f658,f16,f21,f739,f6]) ).
fof(f739,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_9 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f154,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_3
<=> ! [X7] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f4282,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4281,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4280,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4280,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f739,f1462]) ).
fof(f4279,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4278]) ).
fof(f4278,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f2209,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f2209,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f739,f1462]) ).
fof(f4277,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4276,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4275,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4275,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2346,f1462]) ).
fof(f4274,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4273]) ).
fof(f4273,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4272,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4272,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2348,f1462]) ).
fof(f4271,plain,
( spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4270]) ).
fof(f4270,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4269,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4269,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_6
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2349,f1462]) ).
fof(f2349,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f2037,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f13,f9,f410,f2145,f2156,f658,f16,f21,f739,f6,f2346,f11,f2348]) ).
fof(f2037,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f26,f713]) ).
fof(f4268,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4267]) ).
fof(f4267,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4266,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4266,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2352,f1462]) ).
fof(f2352,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2102,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f13,f9,f410,f2145,f2156,f658,f16,f21,f739,f6,f2346,f11,f2348]) ).
fof(f4265,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4264]) ).
fof(f4264,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4263,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4257,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4256]) ).
fof(f4256,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4255,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4253,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4252]) ).
fof(f4252,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4251,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4249,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4248]) ).
fof(f4248,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4247,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4245,plain,
( spl0_1
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4244]) ).
fof(f4244,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4243,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4242,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4241]) ).
fof(f4241,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38,f75]) ).
fof(f4240,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4239]) ).
fof(f4239,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f78,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38]) ).
fof(f4238,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4237]) ).
fof(f4237,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46,f38]) ).
fof(f4236,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4235]) ).
fof(f4235,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f43,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46]) ).
fof(f4234,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4233]) ).
fof(f4233,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950,f46]) ).
fof(f4232,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4231]) ).
fof(f4231,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f3974,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4230,plain,
( spl0_1
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4229]) ).
fof(f4229,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f171,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4228,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4227]) ).
fof(f4227,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3978,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4226,plain,
( spl0_1
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4225]) ).
fof(f4225,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f3953,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f3953,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f628,f631,f629,f627,f645,f642,f409,f644,f716,f717,f719,f720,f713,f725,f726,f714,f722,f715,f4,f654,f767,f656,f839,f837,f842,f847,f765,f897,f899,f410,f2145,f2156,f658,f845,f844,f836,f1333,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2142,f2037,f2887,f2437,f13,f11,f12,f24,f29,f21,f22,f23,f25,f5,f30,f31,f171,f2137,f27,f28,f26,f33]) ).
fof(f2137,plain,
( sk_c3 = inverse(sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f410,f654]) ).
fof(f2437,plain,
( identity = sk_c8
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f28,f713]) ).
fof(f2887,plain,
( identity = sk_c8
| sk_c7 = inverse(sk_c5)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f27,f713]) ).
fof(f2142,plain,
( sk_c3 = inverse(sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f654,f410]) ).
fof(f1333,plain,
( identity = sk_c8
| sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f24,f713]) ).
fof(f836,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c6)),X0)
| ~ spl0_6 ),
inference(superposition,[],[f656,f715]) ).
fof(f844,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c6)),X0)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f843,f1]) ).
fof(f843,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c6)),multiply(identity,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f837]) ).
fof(f845,plain,
( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c6)))),identity)
| ~ spl0_6 ),
inference(superposition,[],[f61,f842]) ).
fof(f899,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c6)))),multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f898,f1]) ).
fof(f898,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c6)))),multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f765]) ).
fof(f897,plain,
( sk_c3 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c6))))),identity)
| ~ spl0_6 ),
inference(superposition,[],[f61,f765]) ).
fof(f765,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f61,f654]) ).
fof(f847,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c6))),multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f846,f1]) ).
fof(f846,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f842]) ).
fof(f842,plain,
( identity = multiply(inverse(inverse(inverse(sk_c6))),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f61,f837]) ).
fof(f837,plain,
( sk_c6 = multiply(inverse(inverse(sk_c6)),identity)
| ~ spl0_6 ),
inference(superposition,[],[f656,f713]) ).
fof(f839,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
| ~ spl0_6 ),
inference(superposition,[],[f61,f656]) ).
fof(f656,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f655,f1]) ).
fof(f655,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f642]) ).
fof(f767,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f766,f1]) ).
fof(f766,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f654]) ).
fof(f654,plain,
( sk_c3 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_6 ),
inference(superposition,[],[f61,f642]) ).
fof(f715,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f644,f61]) ).
fof(f714,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_6 ),
inference(superposition,[],[f644,f629]) ).
fof(f726,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f724,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f713]) ).
fof(f725,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f723,f171]) ).
fof(f723,plain,
( sk_c6 = multiply(inverse(sk_c3),identity)
| ~ spl0_6 ),
inference(superposition,[],[f61,f713]) ).
fof(f720,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f61,f644]) ).
fof(f719,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_6 ),
inference(superposition,[],[f629,f644]) ).
fof(f717,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f61,f644]) ).
fof(f716,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f2,f644]) ).
fof(f642,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f61,f629]) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_6 ),
inference(superposition,[],[f61,f627]) ).
fof(f631,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f630,f1]) ).
fof(f630,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f628]) ).
fof(f4224,plain,
( spl0_1
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4223]) ).
fof(f4223,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f3954,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f3954,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f628,f631,f629,f627,f645,f642,f409,f644,f716,f717,f719,f720,f713,f725,f726,f714,f722,f715,f4,f654,f767,f656,f839,f837,f842,f847,f765,f897,f899,f410,f2145,f2156,f658,f845,f844,f836,f1333,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2142,f2037,f2887,f2437,f13,f11,f12,f24,f29,f21,f22,f23,f25,f5,f30,f171,f2137,f27,f28,f26,f33,f3953,f31]) ).
fof(f4222,plain,
( spl0_1
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4221]) ).
fof(f4221,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f3955,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f3955,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_6 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f15,f10,f32,f61,f412,f423,f628,f631,f629,f627,f645,f642,f409,f644,f716,f717,f719,f720,f713,f725,f726,f714,f722,f715,f4,f654,f767,f656,f839,f837,f842,f847,f765,f897,f899,f410,f2145,f2156,f658,f845,f844,f836,f1333,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f2142,f2037,f2887,f2437,f13,f11,f12,f24,f29,f21,f22,f23,f25,f5,f171,f2137,f27,f28,f26,f33,f3953,f31,f3954,f30]) ).
fof(f4220,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4219]) ).
fof(f4219,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f3961,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4218,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4217]) ).
fof(f4217,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f3962,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4216,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4215]) ).
fof(f4215,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3988,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4214,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4213]) ).
fof(f4213,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f3965,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4212,plain,
( spl0_1
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4211]) ).
fof(f4211,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f2137,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4210,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4209]) ).
fof(f4209,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f4009,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4208,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4207]) ).
fof(f4207,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f3011,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4206,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4205]) ).
fof(f4205,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1490,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4204,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
fof(f4203,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f2514,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4202,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4201]) ).
fof(f4201,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4200,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4199,plain,
( spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4198]) ).
fof(f4198,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4197,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4197,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2485,f1462]) ).
fof(f2485,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_10 ),
inference(global_subsumption,[],[f1333,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f744,f1338,f1421,f1422,f410,f2145,f2156,f658,f16,f21,f1339,f2102,f6,f11,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f4196,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4195]) ).
fof(f4195,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4194,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4193,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4192]) ).
fof(f4192,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4191,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4190,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4189]) ).
fof(f4189,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4188,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4187,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4186]) ).
fof(f4186,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4185,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4184,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4183]) ).
fof(f4183,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f4182,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4181,plain,
( spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4180]) ).
fof(f4180,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4179,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4178,plain,
( spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4177]) ).
fof(f4177,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4176,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4175,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4174]) ).
fof(f4174,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951,f3950]) ).
fof(f4173,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4172]) ).
fof(f4172,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952,f3951]) ).
fof(f4171,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4170]) ).
fof(f4170,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959,f3952]) ).
fof(f4169,plain,
( spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4168]) ).
fof(f4168,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f4167,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959]) ).
fof(f4166,plain,
( spl0_1
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4165]) ).
fof(f4165,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f3958,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959]) ).
fof(f4164,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4163]) ).
fof(f4163,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658,f3959]) ).
fof(f4162,plain,
( spl0_1
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4161]) ).
fof(f4161,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f3960,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658]) ).
fof(f4160,plain,
( spl0_1
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f4159]) ).
fof(f4159,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f3964,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658]) ).
fof(f4158,plain,
( spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4157]) ).
fof(f4157,plain,
( $false
| spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1474,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658]) ).
fof(f4156,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f4155]) ).
fof(f4155,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f1337,f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658]) ).
fof(f4154,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4153]) ).
fof(f4153,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144,f4141,f658]) ).
fof(f4152,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4151]) ).
fof(f4151,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f658,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144,f4141]) ).
fof(f4150,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4149]) ).
fof(f4149,plain,
( $false
| spl0_1
| spl0_9 ),
inference(global_subsumption,[],[f1,f2,f20,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f15,f10,f32,f61,f412,f423,f409,f4,f410,f2156,f658,f739,f2346,f2348,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f38,f46,f75,f27,f3950,f28,f3951,f26,f3952,f33,f31,f30,f5,f25,f3959,f23,f22,f21,f2145,f4142,f4147,f4144]) ).
fof(f4148,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4132,f1460,f742,f738,f169,f156,f624]) ).
fof(f624,plain,
( spl0_8
<=> ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f156,plain,
( spl0_4
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4132,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4131,f1501]) ).
fof(f1501,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1474,f1340]) ).
fof(f1340,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1336,f713]) ).
fof(f1336,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f775,f744]) ).
fof(f775,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f715,f748]) ).
fof(f4131,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f157,f1501]) ).
fof(f157,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f4130,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4107,f1460,f742,f738,f169,f153,f621]) ).
fof(f621,plain,
( spl0_7
<=> ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4107,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4106,f1501]) ).
fof(f4106,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,sk_c6) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f154,f1501]) ).
fof(f3946,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3945]) ).
fof(f3945,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f65,f72,f76,f77,f79,f85,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461,f75,f78,f69,f46,f38]) ).
fof(f1461,plain,
( sk_c8 != sk_c7
| spl0_12 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f117,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X5) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f116,f78]) ).
fof(f116,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f115,f78]) ).
fof(f115,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f114,f78]) ).
fof(f114,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f113,f78]) ).
fof(f113,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f112,f92]) ).
fof(f112,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(sk_c6,sk_c6)
| sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f111,f78]) ).
fof(f111,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f110,f78]) ).
fof(f110,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != multiply(X6,sk_c6)
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f109,f78]) ).
fof(f109,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f85,f78]) ).
fof(f151,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f150,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f138]) ).
fof(f138,plain,
( identity = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f132]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f125]) ).
fof(f125,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f65]) ).
fof(f136,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f135,f78]) ).
fof(f135,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f129,f69]) ).
fof(f129,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f48]) ).
fof(f140,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f139,f1]) ).
fof(f139,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f132]) ).
fof(f132,plain,
( identity = multiply(sk_c3,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f47]) ).
fof(f133,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f118]) ).
fof(f131,plain,
( identity = multiply(sk_c3,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f86]) ).
fof(f130,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f91]) ).
fof(f128,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f72]) ).
fof(f127,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f92]) ).
fof(f126,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f90]) ).
fof(f118,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f55,f78]) ).
fof(f124,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f123,f78]) ).
fof(f123,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f122,f69]) ).
fof(f122,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f58,f78]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f57,f78]) ).
fof(f120,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f119,f78]) ).
fof(f119,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f56,f69]) ).
fof(f90,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f78]) ).
fof(f103,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f92]) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f72,f78]) ).
fof(f102,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f91]) ).
fof(f91,plain,
( sk_c6 = multiply(sk_c6,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f66,f78]) ).
fof(f100,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f89]) ).
fof(f101,plain,
( sk_c6 = multiply(sk_c6,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f99,f78]) ).
fof(f99,plain,
( sk_c6 = multiply(sk_c8,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f89]) ).
fof(f89,plain,
( sk_c2 = multiply(sk_c1,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f50,f78]) ).
fof(f98,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f97,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f86]) ).
fof(f86,plain,
( identity = multiply(sk_c6,sk_c1)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f45,f78]) ).
fof(f96,plain,
( sk_c6 = multiply(sk_c6,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f95,f78]) ).
fof(f95,plain,
( sk_c8 = multiply(sk_c6,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f88,f69]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c6,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f49,f78]) ).
fof(f94,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f78]) ).
fof(f93,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f87,f69]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f78]) ).
fof(f85,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f84,f69]) ).
fof(f84,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f83,f69]) ).
fof(f83,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f82,f69]) ).
fof(f82,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f81,f69]) ).
fof(f81,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f80,f69]) ).
fof(f80,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| spl0_1 ),
inference(subsumption_resolution,[],[f35,f48]) ).
fof(f79,plain,
( sk_c6 = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f69,f75]) ).
fof(f71,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f66]) ).
fof(f70,plain,
( sk_c8 = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f49,f66]) ).
fof(f3944,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3943]) ).
fof(f3943,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f65,f72,f76,f77,f79,f85,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461,f75,f78,f69,f46]) ).
fof(f3942,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3941]) ).
fof(f3941,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f65,f72,f76,f77,f79,f85,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461,f75,f78,f69]) ).
fof(f3940,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3939]) ).
fof(f3939,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f79,f85,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461,f75,f78]) ).
fof(f3938,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3937]) ).
fof(f3937,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461,f75]) ).
fof(f3936,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3935]) ).
fof(f3935,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_12 ),
inference(global_subsumption,[],[f154,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3934,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3933]) ).
fof(f3933,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f171,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3932,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3931,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3442,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3442,plain,
( sk_c5 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f3439,f2137]) ).
fof(f3439,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f1428,f3438]) ).
fof(f3438,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3437,f722]) ).
fof(f3437,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f740,f3348]) ).
fof(f3348,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f171,f628,f631,f436,f637,f629,f627,f645,f635,f642,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f644,f716,f717,f719,f720,f713,f725,f726,f714,f722,f715,f4,f651,f764,f654,f767,f653,f826,f825,f831,f829,f832,f834,f656,f839,f837,f842,f847,f762,f894,f896,f765,f897,f899,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f845,f1346,f844,f836,f2344,f2345,f1339,f2005,f2102,f2350,f2204,f1333,f9,f13,f35,f2437,f8,f14,f18,f23,f19,f6,f7,f2494,f2491,f2486,f2485,f744,f2142,f2137,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17,f3344,f2887,f3345,f22,f3346,f11,f3347,f2037]) ).
fof(f3347,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f23,f19,f6,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17,f3344,f22,f3346,f11]) ).
fof(f3346,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17,f3344,f22]) ).
fof(f3345,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_6 ),
inference(global_subsumption,[],[f2887,f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f22,f7,f1428,f167,f21,f16,f12,f17]) ).
fof(f3344,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f22,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17]) ).
fof(f3343,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f22,f17,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12]) ).
fof(f3342,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f22,f17,f12,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16]) ).
fof(f3341,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f22,f17,f12,f7,f16,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21]) ).
fof(f2204,plain,
( sk_c8 = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f8,f1337]) ).
fof(f2350,plain,
( identity = sk_c8
| sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2188,f713]) ).
fof(f2188,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f28,f1337]) ).
fof(f2005,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f13,f1337]) ).
fof(f2345,plain,
( sk_c8 = sk_c7
| sk_c8 = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f23,f1337]) ).
fof(f2344,plain,
( sk_c8 = sk_c7
| sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f18,f1337]) ).
fof(f1346,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f3,f1337]) ).
fof(f2182,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1422,f1428]) ).
fof(f1343,plain,
( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c8)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f653,f1337]) ).
fof(f3930,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3929]) ).
fof(f3929,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3443,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3443,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f629,f3439]) ).
fof(f3928,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3927]) ).
fof(f3927,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3348,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3926,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3925]) ).
fof(f3925,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3496,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3496,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f2485,f3348]) ).
fof(f3924,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3923]) ).
fof(f3923,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_12 ),
inference(global_subsumption,[],[f746,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f746,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f715,f740]) ).
fof(f3922,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3921]) ).
fof(f3921,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3920,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3920,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3510,f1458]) ).
fof(f3510,plain,
( sk_c2 = multiply(sk_c1,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3342,f3348]) ).
fof(f3919,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3918]) ).
fof(f3918,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3498,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3498,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f2486,f3348]) ).
fof(f3917,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3916]) ).
fof(f3916,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3467,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3467,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3466,f1428]) ).
fof(f3466,plain,
( identity = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3450,f167]) ).
fof(f3450,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f842,f3439]) ).
fof(f3915,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3914]) ).
fof(f3914,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3486,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3486,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3485,f171]) ).
fof(f3485,plain,
( identity = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3484,f2137]) ).
fof(f3484,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3483,f171]) ).
fof(f3483,plain,
( identity = multiply(inverse(inverse(inverse(sk_c3))),sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3478,f2137]) ).
fof(f3478,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f765,f3442]) ).
fof(f3913,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3912]) ).
fof(f3912,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3470,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3470,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f171,f3442]) ).
fof(f3911,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3910]) ).
fof(f3910,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1340,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3909,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3908]) ).
fof(f3908,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_12 ),
inference(global_subsumption,[],[f915,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f915,plain,
( sk_c3 = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f906,f714]) ).
fof(f906,plain,
( multiply(sk_c3,identity) = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f775,f173]) ).
fof(f3907,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3906]) ).
fof(f3906,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f2485,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3905,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3904]) ).
fof(f3904,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3472,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3472,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f628,f3442]) ).
fof(f3903,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3902]) ).
fof(f3902,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3454,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3454,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f2,f3439]) ).
fof(f3901,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3900]) ).
fof(f3900,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3502,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3502,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f2491,f3348]) ).
fof(f3899,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3898]) ).
fof(f3898,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f2137,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3897,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3896]) ).
fof(f3896,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3475,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3475,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f713,f3442]) ).
fof(f3895,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3894]) ).
fof(f3894,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3476,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3476,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f714,f3442]) ).
fof(f3893,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3892]) ).
fof(f3892,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3491,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3491,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f2,f3470]) ).
fof(f3891,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3890]) ).
fof(f3890,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3493,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3493,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3492,f3442]) ).
fof(f3492,plain,
( sk_c5 = multiply(sk_c3,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3489,f2137]) ).
fof(f3489,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f410,f3470]) ).
fof(f3889,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3888]) ).
fof(f3888,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3480,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3480,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3479,f171]) ).
fof(f3479,plain,
( identity = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3473,f2137]) ).
fof(f3473,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f642,f3442]) ).
fof(f3887,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3886]) ).
fof(f3886,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3494,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3494,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f744,f3348]) ).
fof(f3885,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3884]) ).
fof(f3884,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3438,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3883,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3882]) ).
fof(f3882,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3439,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3881,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3880,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3504,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3504,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f2494,f3348]) ).
fof(f3879,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3878]) ).
fof(f3878,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3441,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3441,plain,
( identity != sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f3440,f3348]) ).
fof(f3440,plain,
( sk_c6 != sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(superposition,[],[f1461,f3438]) ).
fof(f3877,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3876]) ).
fof(f3876,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27,f1461]) ).
fof(f3875,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3874]) ).
fof(f3874,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3341,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3873,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3872]) ).
fof(f3872,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3871,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3871,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3342,f1458]) ).
fof(f3870,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3869]) ).
fof(f3869,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3868,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3868,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3343,f1458]) ).
fof(f3867,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3866]) ).
fof(f3866,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3865,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3865,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3344,f1458]) ).
fof(f3864,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3863,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3346,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3862,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3861]) ).
fof(f3861,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3860,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3860,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3347,f1458]) ).
fof(f3859,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3858]) ).
fof(f3858,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3349,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3349,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f18,f19,f6,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17,f3344,f22,f3346,f11,f3347,f23]) ).
fof(f3857,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3856]) ).
fof(f3856,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3855,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3855,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3350,f1458]) ).
fof(f3350,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f13,f35,f8,f14,f19,f6,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17,f3344,f22,f3346,f11,f3347,f23,f3349,f18]) ).
fof(f3854,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3853]) ).
fof(f3853,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3514,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3514,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3343,f1458]) ).
fof(f3852,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3851]) ).
fof(f3851,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3850,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3850,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3352,f1458]) ).
fof(f3352,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f173,f175,f61,f412,f423,f28,f26,f24,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f1343,f1338,f1421,f1422,f1012,f1429,f410,f2145,f2156,f2182,f658,f1346,f2344,f2345,f1339,f2005,f2102,f2204,f9,f35,f8,f14,f19,f6,f7,f2494,f2491,f2486,f744,f1461,f1337,f1428,f167,f21,f3341,f16,f3342,f12,f3343,f17,f3344,f22,f3346,f11,f3347,f23,f3349,f18,f3350,f13]) ).
fof(f3849,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3848]) ).
fof(f3848,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3847,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3846,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3845]) ).
fof(f3845,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3844,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3843,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3842]) ).
fof(f3842,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3841,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3840,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3839]) ).
fof(f3839,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28,f27]) ).
fof(f3838,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3837]) ).
fof(f3837,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26,f28]) ).
fof(f3836,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3835]) ).
fof(f3835,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33,f26]) ).
fof(f3834,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3833]) ).
fof(f3833,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f29,f21,f22,f23,f43,f25,f5,f30,f31,f33]) ).
fof(f3832,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3831]) ).
fof(f3831,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f29,f21,f22,f23,f43,f25,f5,f30,f31]) ).
fof(f3830,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3829]) ).
fof(f3829,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23,f43,f25,f5,f30]) ).
fof(f3828,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3827]) ).
fof(f3827,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23,f43,f25,f5]) ).
fof(f3826,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3825]) ).
fof(f3825,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3824,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23,f43,f25]) ).
fof(f3823,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3822]) ).
fof(f3822,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3821,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23,f43,f25]) ).
fof(f3820,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3819]) ).
fof(f3819,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23,f43,f25]) ).
fof(f3818,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3817]) ).
fof(f3817,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23,f43]) ).
fof(f3816,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3815]) ).
fof(f3815,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3814,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f43,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23]) ).
fof(f3813,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3812]) ).
fof(f3812,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f18,f43,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22,f23]) ).
fof(f3811,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3810]) ).
fof(f3810,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f23,f18,f43,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21,f22]) ).
fof(f3809,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3808]) ).
fof(f3808,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3807,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f22,f23,f18,f43,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21]) ).
fof(f3806,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3805]) ).
fof(f3805,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3804,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f22,f23,f18,f43,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21]) ).
fof(f3803,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3802]) ).
fof(f3802,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f64,f66,f70,f71,f69,f65,f72,f76,f77,f75,f79,f85,f78,f94,f96,f86,f98,f89,f101,f100,f91,f102,f92,f103,f90,f120,f121,f124,f118,f126,f127,f128,f130,f131,f133,f132,f140,f136,f125,f146,f138,f151,f117,f25,f15,f10,f5,f30,f32,f61,f412,f423,f438,f417,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f16,f17,f22,f23,f18,f43,f1461,f13,f11,f12,f27,f28,f26,f24,f33,f31,f29,f21]) ).
fof(f3783,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3782]) ).
fof(f3782,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3258,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3249,f3575,f3579,f3580,f3582,f3583,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f482,f3724,f3723,f3722,f3748,f3719,f3743,f3716,f3715,f3714,f3713,f3729,f3710,f3709,f3760,f3577,f3576,f3761,f3762,f3574,f3573,f3572,f3763,f3559,f3558,f3557,f3765,f3261,f3260,f3259,f3759,f3758,f3757,f3250,f3766,f3768,f3769,f3771,f3241,f622,f3732,f3781]) ).
fof(f3781,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f3772,f482]) ).
fof(f3772,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f39,f3732]) ).
fof(f3732,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f3712,f2]) ).
fof(f3712,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f434,f482]) ).
fof(f622,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f3241,plain,
( ! [X0] :
( identity != X0
| identity != inverse(inverse(inverse(X0))) )
| ~ spl0_7 ),
inference(superposition,[],[f622,f410]) ).
fof(f3771,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3770,f482]) ).
fof(f3770,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3579,f482]) ).
fof(f3769,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3580,f482]) ).
fof(f3768,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3767,f482]) ).
fof(f3767,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3249,f482]) ).
fof(f3766,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3258,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3249,f3575,f3579,f3580,f3582,f3583,f3241,f622,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f482,f3724,f3723,f3722,f3748,f3719,f3743,f3716,f3715,f3714,f3713,f3732,f3729,f3710,f3709,f3760,f3577,f3576,f3761,f3762,f3574,f3573,f3572,f3763,f3559,f3558,f3557,f3765,f3261,f3260,f3259,f3759,f3758,f3757,f3250]) ).
fof(f3250,plain,
( identity != sk_c4
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f663]) ).
fof(f3757,plain,
( identity != inverse(identity)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3252]) ).
fof(f3252,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_7 ),
inference(superposition,[],[f622,f1]) ).
fof(f3758,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3253]) ).
fof(f3253,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(superposition,[],[f622,f2]) ).
fof(f3759,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3254]) ).
fof(f3254,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(superposition,[],[f622,f409]) ).
fof(f3259,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3254]) ).
fof(f3260,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3253]) ).
fof(f3261,plain,
( identity != inverse(identity)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3252]) ).
fof(f3765,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3764,f482]) ).
fof(f3764,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3582,f482]) ).
fof(f3557,plain,
( identity != inverse(identity)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3252]) ).
fof(f3558,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3253]) ).
fof(f3559,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f3254]) ).
fof(f3763,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3258,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3249,f3575,f3579,f3580,f3582,f3583,f3241,f622,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f482,f3724,f3723,f3722,f3748,f3719,f3743,f3716,f3715,f3714,f3713,f3732,f3729,f3710,f3709,f3760,f3577,f3576,f3761,f3762,f3574,f3573,f3572]) ).
fof(f3572,plain,
( identity != inverse(sk_c4)
| identity != sk_c4
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3335,f982]) ).
fof(f3335,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3257,f663]) ).
fof(f3257,plain,
( identity != multiply(sk_c4,identity)
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f418]) ).
fof(f3573,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f170,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f229,f236,f238,f239,f240,f241,f242,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f277,f278,f317,f299,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f482,f507,f528,f529,f518,f526,f546,f553,f494,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f622,f3241,f3258,f21,f16,f17,f22,f23,f18,f167,f3406,f3407,f3408,f1428,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572]) ).
fof(f3574,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f170,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f229,f236,f238,f239,f240,f241,f242,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f277,f278,f317,f299,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f482,f507,f528,f529,f518,f526,f546,f553,f494,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f622,f3241,f3258,f21,f16,f17,f22,f23,f18,f167,f3406,f3407,f3408,f1428,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572,f3573,f3261,f3260,f3259,f3559,f3558,f3557,f3250]) ).
fof(f3762,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3575,f482]) ).
fof(f3761,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3258,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572,f3573,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3574,f3249,f3575,f3579,f3580,f3582,f3583,f3241,f622,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f482,f3724,f3723,f3722,f3748,f3719,f3743,f3716,f3715,f3714,f3713,f3732,f3729,f3710,f3709,f3760,f3577,f3576]) ).
fof(f3576,plain,
( identity != inverse(sk_c4)
| identity != sk_c4
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3247,f982]) ).
fof(f3247,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f434]) ).
fof(f3577,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f170,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f229,f236,f238,f239,f240,f241,f242,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f277,f278,f317,f299,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f482,f507,f528,f529,f518,f526,f546,f553,f494,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f622,f3241,f3258,f21,f16,f17,f22,f23,f18,f167,f3406,f3407,f3408,f1428,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572,f3573,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3574,f3249,f3575,f3576]) ).
fof(f3760,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3583,f482]) ).
fof(f3709,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f159,f482]) ).
fof(f3710,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f161,f482]) ).
fof(f3729,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f3711,f409]) ).
fof(f3711,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f418,f482]) ).
fof(f3713,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f632,f482]) ).
fof(f3714,plain,
( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f648,f482]) ).
fof(f3715,plain,
( ! [X0] : multiply(inverse(inverse(identity)),multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f650,f482]) ).
fof(f3716,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f662,f482]) ).
fof(f3743,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f3717,f1]) ).
fof(f3717,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f664,f482]) ).
fof(f3719,plain,
( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f759,f482]) ).
fof(f3748,plain,
( ! [X0] : multiply(inverse(inverse(identity)),X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f3720,f1]) ).
fof(f3720,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(identity)),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f811,f482]) ).
fof(f3722,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f816,f482]) ).
fof(f3723,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f958,f482]) ).
fof(f3724,plain,
( sk_c4 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f982,f482]) ).
fof(f482,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f481,f2]) ).
fof(f481,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f428,f229]) ).
fof(f428,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| spl0_6 ),
inference(superposition,[],[f61,f178]) ).
fof(f526,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f525,f272]) ).
fof(f525,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f512,f229]) ).
fof(f512,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f178,f482]) ).
fof(f299,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f290,f242]) ).
fof(f290,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f39,f277]) ).
fof(f229,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f228,f212]) ).
fof(f242,plain,
( sk_c6 = sk_c8
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f237,f228]) ).
fof(f237,plain,
( sk_c8 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f180,f229]) ).
fof(f494,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f493,f2]) ).
fof(f493,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f433,f242]) ).
fof(f433,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f61,f215]) ).
fof(f277,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f274,f245]) ).
fof(f278,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f274,f233]) ).
fof(f3583,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f170,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f229,f236,f238,f239,f240,f241,f242,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f277,f278,f317,f299,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f482,f507,f528,f529,f518,f526,f546,f553,f494,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f622,f3241,f3258,f21,f16,f17,f22,f23,f18,f167,f3406,f3407,f3408,f1428,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572,f3573,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3574,f3249,f3575,f3576,f3577,f3579,f3580,f3582]) ).
fof(f3582,plain,
( identity != inverse(sk_c8)
| identity != sk_c8
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3581,f39]) ).
fof(f3581,plain,
( identity != inverse(inverse(sk_c4))
| identity != sk_c8
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3322,f982]) ).
fof(f3322,plain,
( identity != sk_c8
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3255,f671]) ).
fof(f3255,plain,
( identity != multiply(sk_c8,identity)
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f811]) ).
fof(f3580,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f170,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f229,f236,f238,f239,f240,f241,f242,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f277,f278,f317,f299,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f482,f507,f528,f529,f518,f526,f546,f553,f494,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f622,f3241,f3258,f21,f16,f17,f22,f23,f18,f167,f3406,f3407,f3408,f1428,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572,f3573,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3574,f3249,f3575,f3576,f3577,f3579]) ).
fof(f3579,plain,
( identity != inverse(sk_c8)
| identity != sk_c8
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3578,f39]) ).
fof(f3578,plain,
( identity != inverse(inverse(sk_c4))
| identity != sk_c8
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3245,f982]) ).
fof(f3245,plain,
( identity != sk_c8
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f812]) ).
fof(f3575,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f170,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f229,f236,f238,f239,f240,f241,f242,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f277,f278,f317,f299,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f482,f507,f528,f529,f518,f526,f546,f553,f494,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f622,f3241,f3258,f21,f16,f17,f22,f23,f18,f167,f3406,f3407,f3408,f1428,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f3572,f3573,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3574,f3249]) ).
fof(f3249,plain,
( identity != sk_c8
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f671]) ).
fof(f3258,plain,
( ! [X0,X1] :
( identity != multiply(X0,multiply(X1,identity))
| identity != inverse(multiply(X0,X1)) )
| ~ spl0_7 ),
inference(superposition,[],[f622,f3]) ).
fof(f982,plain,
( sk_c4 = inverse(sk_c8)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f978,f663]) ).
fof(f978,plain,
( multiply(sk_c4,identity) = inverse(sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f664,f958]) ).
fof(f983,plain,
( sk_c4 = inverse(sk_c8)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f979,f434]) ).
fof(f979,plain,
( inverse(sk_c8) = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f958]) ).
fof(f958,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f811,f2]) ).
fof(f966,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f61,f811]) ).
fof(f965,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f2,f811]) ).
fof(f811,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f650,f664]) ).
fof(f893,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f892,f1]) ).
fof(f892,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c4,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f759]) ).
fof(f891,plain,
( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f759]) ).
fof(f759,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f61,f648]) ).
fof(f821,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f820,f1]) ).
fof(f820,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f816]) ).
fof(f819,plain,
( sk_c8 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f816]) ).
fof(f816,plain,
( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f61,f812]) ).
fof(f818,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f817,f1]) ).
fof(f817,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f812]) ).
fof(f812,plain,
( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
| ~ spl0_1 ),
inference(superposition,[],[f650,f662]) ).
fof(f813,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
| ~ spl0_1 ),
inference(superposition,[],[f61,f650]) ).
fof(f650,plain,
( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f649,f1]) ).
fof(f649,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f632]) ).
fof(f761,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f760,f1]) ).
fof(f760,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f648]) ).
fof(f648,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c8))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f632]) ).
fof(f664,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f418,f61]) ).
fof(f671,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(superposition,[],[f161,f662]) ).
fof(f663,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f418,f434]) ).
fof(f675,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f673,f1]) ).
fof(f673,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f662]) ).
fof(f674,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f672,f39]) ).
fof(f672,plain,
( sk_c8 = multiply(inverse(sk_c4),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f662]) ).
fof(f662,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f418,f2]) ).
fof(f669,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f61,f418]) ).
fof(f668,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f434,f418]) ).
fof(f666,plain,
( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f61,f418]) ).
fof(f665,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f2,f418]) ).
fof(f418,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1 ),
inference(superposition,[],[f61,f161]) ).
fof(f632,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f61,f434]) ).
fof(f634,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f633,f1]) ).
fof(f633,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f434]) ).
fof(f434,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f159]) ).
fof(f609,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f608,f194]) ).
fof(f608,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(sk_c6,sk_c8)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f607,f229]) ).
fof(f607,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f606,f526]) ).
fof(f606,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f605,f242]) ).
fof(f605,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f604,f526]) ).
fof(f604,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c6)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f603,f229]) ).
fof(f603,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f602,f526]) ).
fof(f602,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f601,f242]) ).
fof(f601,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f600,f526]) ).
fof(f600,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f599,f526]) ).
fof(f599,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f598,f229]) ).
fof(f598,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f597,f526]) ).
fof(f597,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f596,f242]) ).
fof(f596,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f595,f526]) ).
fof(f595,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f594,f229]) ).
fof(f594,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f593,f526]) ).
fof(f593,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f592,f526]) ).
fof(f592,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f591,f242]) ).
fof(f591,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f590,f526]) ).
fof(f590,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f589,f242]) ).
fof(f589,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f588,f526]) ).
fof(f588,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f587,f229]) ).
fof(f587,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f586,f526]) ).
fof(f586,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7 )
| spl0_6 ),
inference(subsumption_resolution,[],[f35,f178]) ).
fof(f553,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f552,f1]) ).
fof(f552,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f536,f277]) ).
fof(f536,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f212,f526]) ).
fof(f546,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f545,f1]) ).
fof(f545,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f533,f278]) ).
fof(f533,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f184,f526]) ).
fof(f518,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f242,f482]) ).
fof(f529,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f515,f272]) ).
fof(f515,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f194,f482]) ).
fof(f528,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f514,f1]) ).
fof(f514,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f181,f482]) ).
fof(f507,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f482,f242]) ).
fof(f500,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f437,f278]) ).
fof(f437,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f233]) ).
fof(f499,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f498,f278]) ).
fof(f498,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f436,f229]) ).
fof(f497,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f435,f277]) ).
fof(f435,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f245]) ).
fof(f496,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f495,f277]) ).
fof(f495,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f434,f242]) ).
fof(f492,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f491,f2]) ).
fof(f491,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f432,f229]) ).
fof(f432,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f185]) ).
fof(f486,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f430,f2]) ).
fof(f430,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f194]) ).
fof(f485,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f484,f2]) ).
fof(f484,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f483,f242]) ).
fof(f483,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f429,f229]) ).
fof(f429,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f61,f181]) ).
fof(f480,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f427,f2]) ).
fof(f427,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f257]) ).
fof(f471,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f470,f233]) ).
fof(f470,plain,
( multiply(sk_c6,sk_c5) = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f422,f242]) ).
fof(f422,plain,
( multiply(sk_c8,sk_c5) = multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f219]) ).
fof(f465,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f464,f274]) ).
fof(f464,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f463,f242]) ).
fof(f463,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f462,f229]) ).
fof(f462,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f420,f274]) ).
fof(f420,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
| spl0_6 ),
inference(superposition,[],[f61,f179]) ).
fof(f461,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f460,f1]) ).
fof(f460,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f459,f278]) ).
fof(f459,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f419,f229]) ).
fof(f458,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f457,f1]) ).
fof(f457,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f456,f277]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f418,f242]) ).
fof(f452,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f451,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f416,f278]) ).
fof(f416,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f234]) ).
fof(f415,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f272]) ).
fof(f445,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f444,f229]) ).
fof(f444,plain,
( identity = multiply(inverse(sk_c7),identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f413,f245]) ).
fof(f413,plain,
( identity = multiply(inverse(sk_c7),multiply(sk_c6,sk_c4))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f61,f191]) ).
fof(f411,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f61,f274]) ).
fof(f317,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f310,f229]) ).
fof(f310,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f167,f278]) ).
fof(f285,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f233,f274]) ).
fof(f284,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f245,f274]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f234,f274]) ).
fof(f275,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f274,f234]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f273,f1]) ).
fof(f273,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f272]) ).
fof(f272,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f240,f245]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f175,f229]) ).
fof(f267,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f266,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f245]) ).
fof(f245,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f159,f242]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f259,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f233]) ).
fof(f233,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f173,f229]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f257]) ).
fof(f257,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f231,f242]) ).
fof(f252,plain,
( identity = multiply(sk_c6,multiply(sk_c6,sk_c5))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f219,f242]) ).
fof(f256,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f251,f229]) ).
fof(f251,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f215,f242]) ).
fof(f250,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f194,f242]) ).
fof(f255,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f249,f229]) ).
fof(f249,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f181,f242]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f248,f229]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f179,f242]) ).
fof(f253,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f247,f229]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f178,f242]) ).
fof(f246,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f161,f242]) ).
fof(f241,plain,
( sk_c6 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f215,f229]) ).
fof(f240,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f191,f229]) ).
fof(f239,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f185,f229]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f182,f229]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f179,f229]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f228]) ).
fof(f231,plain,
( sk_c6 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f161,f228]) ).
fof(f230,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f212,f228]) ).
fof(f228,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f208,f215]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,multiply(sk_c5,X0))) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f226,f1]) ).
fof(f226,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c8,multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f224,f3]) ).
fof(f224,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c8,sk_c5),X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f219]) ).
fof(f225,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c6,multiply(sk_c8,sk_c5))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f223,f191]) ).
fof(f223,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,multiply(sk_c8,sk_c5))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f179,f219]) ).
fof(f219,plain,
( identity = multiply(sk_c8,multiply(sk_c8,sk_c5))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f161,f209]) ).
fof(f222,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f221,f1]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c4,multiply(identity,X0))
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f220,f3]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(multiply(sk_c8,sk_c5),X0)
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
( multiply(sk_c8,sk_c5) = multiply(sk_c4,identity)
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f182,f173]) ).
fof(f218,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f3,f215]) ).
fof(f217,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f179,f215]) ).
fof(f215,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f161,f212]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f3,f212]) ).
fof(f212,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f207,f181]) ).
fof(f207,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| spl0_6 ),
inference(superposition,[],[f182,f178]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f161,f182]) ).
fof(f208,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c7)
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f182,f185]) ).
fof(f205,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f182,f175]) ).
fof(f204,plain,
( multiply(sk_c8,identity) = multiply(sk_c4,multiply(sk_c6,sk_c4))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f182,f191]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f199,f1]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f198,f3]) ).
fof(f198,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c4),X0)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f3,f191]) ).
fof(f191,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c7,identity)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f179,f159]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f194]) ).
fof(f194,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f190,f185]) ).
fof(f190,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f179,f181]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f179,f161]) ).
fof(f187,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f3,f185]) ).
fof(f185,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f175,f184]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f3,f181]) ).
fof(f181,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f161,f180]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f160,f1]) ).
fof(f160,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f159]) ).
fof(f159,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f3756,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3755]) ).
fof(f3755,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716,f3743,f3719,f3748,f3722,f3723,f3724]) ).
fof(f3190,plain,
( identity != inverse(identity)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f3119,f1]) ).
fof(f3119,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl0_8 ),
inference(superposition,[],[f625,f1]) ).
fof(f3705,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704]) ).
fof(f3704,plain,
( identity != inverse(sk_c8)
| identity != sk_c8
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3703,f39]) ).
fof(f3703,plain,
( identity != inverse(inverse(sk_c4))
| identity != sk_c8
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3151,f982]) ).
fof(f3151,plain,
( identity != sk_c8
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3112,f1]) ).
fof(f3112,plain,
( identity != multiply(identity,sk_c8)
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f812]) ).
fof(f3702,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701]) ).
fof(f3701,plain,
( identity != inverse(sk_c4)
| identity != sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3217,f982]) ).
fof(f3217,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3216,f1]) ).
fof(f3216,plain,
( identity != multiply(identity,sk_c4)
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3124,f663]) ).
fof(f3124,plain,
( identity != multiply(identity,multiply(sk_c4,identity))
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f418]) ).
fof(f3700,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699]) ).
fof(f3699,plain,
( identity != inverse(sk_c8)
| identity != sk_c8
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3698,f39]) ).
fof(f3698,plain,
( identity != inverse(inverse(sk_c4))
| identity != sk_c8
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3202,f982]) ).
fof(f3202,plain,
( identity != sk_c8
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3201,f1]) ).
fof(f3201,plain,
( identity != multiply(identity,sk_c8)
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3122,f671]) ).
fof(f3122,plain,
( identity != multiply(identity,multiply(sk_c8,identity))
| identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f811]) ).
fof(f3697,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696]) ).
fof(f3696,plain,
( identity != inverse(sk_c4)
| identity != sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3695,f982]) ).
fof(f3695,plain,
( identity != inverse(inverse(sk_c8))
| identity != sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3694,f39]) ).
fof(f3694,plain,
( identity != inverse(inverse(inverse(sk_c4)))
| identity != sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3128,f982]) ).
fof(f3128,plain,
( identity != sk_c4
| identity != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3109,f1]) ).
fof(f3109,plain,
( identity != multiply(identity,sk_c4)
| identity != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f648]) ).
fof(f3127,plain,
( ! [X0] :
( identity != X0
| identity != inverse(inverse(inverse(X0))) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3108,f1]) ).
fof(f3108,plain,
( ! [X0] :
( identity != multiply(identity,X0)
| identity != inverse(inverse(inverse(X0))) )
| ~ spl0_8 ),
inference(superposition,[],[f625,f410]) ).
fof(f3126,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_8 ),
inference(superposition,[],[f625,f1]) ).
fof(f3197,plain,
( identity != inverse(inverse(identity))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f3121,f1]) ).
fof(f3121,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl0_8 ),
inference(superposition,[],[f625,f409]) ).
fof(f3693,plain,
( identity != multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f3127,f3126,f3197,f625,f3193,f3688,f3689,f3690,f3691,f3692]) ).
fof(f3692,plain,
( identity != sk_c8
| identity != multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3117,f39]) ).
fof(f3117,plain,
( identity != multiply(identity,sk_c4)
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f663]) ).
fof(f3691,plain,
( identity != multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f3127,f3126,f3197,f625,f3193,f3688,f3689,f3690]) ).
fof(f3690,plain,
( identity != sk_c4
| identity != multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3116,f982]) ).
fof(f3116,plain,
( identity != multiply(identity,sk_c8)
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f671]) ).
fof(f3689,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f482,f242,f229,f299,f1428,f167,f526,f3190,f3127,f3126,f3197,f625,f3193,f3688]) ).
fof(f3688,plain,
( identity != inverse(sk_c4)
| identity != sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3164,f982]) ).
fof(f3164,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3114,f1]) ).
fof(f3114,plain,
( identity != multiply(identity,sk_c4)
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f625,f434]) ).
fof(f3193,plain,
( identity != inverse(inverse(identity))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f3120,f1]) ).
fof(f3120,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl0_8 ),
inference(superposition,[],[f625,f2]) ).
fof(f625,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f3125,plain,
( ! [X0,X1] :
( identity != multiply(identity,multiply(X0,multiply(X1,identity)))
| identity != inverse(multiply(X0,X1)) )
| ~ spl0_8 ),
inference(superposition,[],[f625,f3]) ).
fof(f3754,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3753]) ).
fof(f3753,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716,f3743,f3719,f3748,f3722,f3723]) ).
fof(f3752,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3751]) ).
fof(f3751,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716,f3743,f3719,f3748,f3722]) ).
fof(f3750,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3749,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716,f3743,f3719,f3748]) ).
fof(f3747,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
fof(f3746,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716,f3743,f3719]) ).
fof(f3745,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3744]) ).
fof(f3744,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716,f3743]) ).
fof(f3742,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3741]) ).
fof(f3741,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715,f3716]) ).
fof(f3740,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3739]) ).
fof(f3739,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714,f3715]) ).
fof(f3738,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3737]) ).
fof(f3737,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713,f3714]) ).
fof(f3736,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3735]) ).
fof(f3735,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732,f3713]) ).
fof(f3734,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3733]) ).
fof(f3733,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729,f3732]) ).
fof(f3731,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3730]) ).
fof(f3730,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710,f3729]) ).
fof(f3728,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3727]) ).
fof(f3727,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709,f3710]) ).
fof(f3726,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3725]) ).
fof(f3725,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f25,f15,f10,f5,f30,f39,f159,f161,f32,f173,f175,f178,f180,f181,f183,f184,f186,f185,f187,f179,f189,f194,f197,f191,f200,f182,f204,f205,f206,f208,f210,f212,f216,f215,f217,f218,f209,f222,f219,f225,f227,f228,f230,f231,f232,f236,f238,f239,f240,f241,f246,f253,f254,f255,f250,f256,f252,f257,f258,f233,f260,f245,f267,f234,f272,f274,f275,f282,f284,f285,f317,f61,f411,f412,f445,f415,f452,f458,f461,f465,f471,f423,f480,f485,f486,f492,f496,f497,f499,f500,f507,f528,f529,f518,f546,f553,f609,f434,f634,f436,f637,f632,f635,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f648,f761,f651,f764,f650,f813,f812,f818,f816,f819,f821,f653,f826,f825,f831,f829,f832,f834,f759,f891,f893,f762,f894,f896,f811,f965,f966,f958,f983,f982,f823,f1020,f1019,f1012,f1429,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f3406,f3407,f3408,f3435,f3433,f3434,f13,f3560,f11,f3562,f12,f3564,f27,f3565,f28,f3566,f26,f3567,f24,f33,f3569,f31,f3570,f29,f170,f278,f277,f494,f242,f229,f299,f1428,f167,f526,f625,f3193,f3688,f3689,f3690,f3691,f3692,f3693,f3197,f3126,f3127,f3696,f3697,f3699,f3700,f3701,f3702,f3704,f3705,f3190,f482,f3709]) ).
fof(f3687,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3686]) ).
fof(f3686,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126,f3197,f3671,f3676,f3681,f3193,f625]) ).
fof(f3681,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3680,f3604]) ).
fof(f3680,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3679,f982]) ).
fof(f3679,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3164,f3604]) ).
fof(f3676,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3675,f2203]) ).
fof(f3675,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3674,f1]) ).
fof(f3674,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3116,f2203]) ).
fof(f3671,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3670,f3604]) ).
fof(f3670,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3669,f1]) ).
fof(f3669,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3117,f3604]) ).
fof(f3660,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3659,f3604]) ).
fof(f3659,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3658,f982]) ).
fof(f3658,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3657,f39]) ).
fof(f3657,plain,
( identity != inverse(inverse(inverse(sk_c4)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3656,f982]) ).
fof(f3656,plain,
( identity != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3128,f3604]) ).
fof(f3653,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3652,f2203]) ).
fof(f3652,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3651,f39]) ).
fof(f3651,plain,
( identity != inverse(inverse(sk_c4))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3650,f982]) ).
fof(f3650,plain,
( identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3202,f2203]) ).
fof(f3647,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3646,f3604]) ).
fof(f3646,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3645,f982]) ).
fof(f3645,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3217,f3604]) ).
fof(f3642,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3641,f2203]) ).
fof(f3641,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3640,f39]) ).
fof(f3640,plain,
( identity != inverse(inverse(sk_c4))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3639,f982]) ).
fof(f3639,plain,
( identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3151,f2203]) ).
fof(f3616,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3607,f2203]) ).
fof(f3607,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f39,f3604]) ).
fof(f3604,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3590,f2]) ).
fof(f3590,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f434,f2203]) ).
fof(f3602,plain,
( sk_c4 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f982,f2203]) ).
fof(f3601,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f958,f2203]) ).
fof(f3600,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f816,f2203]) ).
fof(f3606,plain,
( ! [X0] : multiply(inverse(inverse(identity)),X0) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3598,f1]) ).
fof(f3598,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(identity)),X0)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f811,f2203]) ).
fof(f3597,plain,
( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c4)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f759,f2203]) ).
fof(f3605,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3595,f1]) ).
fof(f3595,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f664,f2203]) ).
fof(f3594,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f662,f2203]) ).
fof(f3593,plain,
( ! [X0] : multiply(inverse(inverse(identity)),multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f650,f2203]) ).
fof(f3592,plain,
( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f648,f2203]) ).
fof(f3591,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f632,f2203]) ).
fof(f3603,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3589,f409]) ).
fof(f3589,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f418,f2203]) ).
fof(f3588,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f161,f2203]) ).
fof(f3587,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f159,f2203]) ).
fof(f2203,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2202,f662]) ).
fof(f2202,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2201,f1462]) ).
fof(f2201,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_11 ),
inference(subsumption_resolution,[],[f1204,f1457]) ).
fof(f1457,plain,
( identity != sk_c2
| spl0_11 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f3532,plain,
( identity = sk_c2
| sk_c7 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3531,f662]) ).
fof(f3531,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f17,f638]) ).
fof(f3523,plain,
( identity = sk_c2
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3522,f662]) ).
fof(f3522,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f18,f638]) ).
fof(f3543,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f1457,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f12,f17,f22,f11,f23,f18,f13,f43,f638,f3539]) ).
fof(f3539,plain,
( identity = sk_c2
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3538,f662]) ).
fof(f3538,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f16,f638]) ).
fof(f638,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f438,f434]) ).
fof(f2207,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2206,f1462]) ).
fof(f2206,plain,
( identity = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2205,f662]) ).
fof(f2205,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6,f1462]) ).
fof(f2197,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2196,f662]) ).
fof(f2196,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2195,f1462]) ).
fof(f2195,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f11,f1462]) ).
fof(f1335,plain,
( identity = sk_c2
| sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1334,f662]) ).
fof(f1334,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14,f638]) ).
fof(f1204,plain,
( identity = sk_c2
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1203,f662]) ).
fof(f1203,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f16,f638]) ).
fof(f1218,plain,
( identity = sk_c2
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1217,f662]) ).
fof(f1217,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f18,f638]) ).
fof(f661,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f417,f638]) ).
fof(f3685,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3684]) ).
fof(f3684,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126,f3197,f3671,f3676,f3681,f3193]) ).
fof(f3683,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3682,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126,f3197,f3671,f3676,f3681]) ).
fof(f3678,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3677]) ).
fof(f3677,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126,f3197,f3671,f3676]) ).
fof(f3673,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3672]) ).
fof(f3672,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126,f3197,f3671]) ).
fof(f3668,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3667]) ).
fof(f3667,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126,f3197]) ).
fof(f3666,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3665]) ).
fof(f3665,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127,f3126]) ).
fof(f3664,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3663]) ).
fof(f3663,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3125,f3126,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660,f3127]) ).
fof(f3662,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3661]) ).
fof(f3661,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3127,f3125,f3126,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653,f3660]) ).
fof(f3655,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3654]) ).
fof(f3654,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3127,f3125,f3126,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647,f3653]) ).
fof(f3649,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3648]) ).
fof(f3648,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3127,f3125,f3126,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642,f3647]) ).
fof(f3644,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3643]) ).
fof(f3643,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3127,f3125,f3126,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190,f3642]) ).
fof(f3638,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3637]) ).
fof(f3637,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f625,f3127,f3125,f3126,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616,f3190]) ).
fof(f3618,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3617]) ).
fof(f3617,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f2197,f2207,f9,f35,f8,f14,f19,f6,f7,f3258,f21,f16,f17,f22,f23,f18,f43,f638,f3539,f3543,f13,f3523,f11,f3532,f12,f27,f28,f26,f24,f33,f31,f29,f3572,f3261,f3260,f3259,f3559,f3558,f3557,f3250,f3249,f3576,f3579,f3582,f3241,f622,f1457,f1462,f2203,f3587,f3588,f3603,f3591,f3592,f3593,f3594,f3605,f3597,f3606,f3600,f3601,f3602,f3604,f3616]) ).
fof(f3556,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f3555]) ).
fof(f3555,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f43,f638,f166,f3539,f3543,f12,f3544,f3532,f11,f3523,f13,f1457]) ).
fof(f3544,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| spl0_5 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f11,f23,f18,f13,f166,f12]) ).
fof(f166,plain,
( sk_c7 != inverse(sk_c5)
| spl0_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f3554,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f3553]) ).
fof(f3553,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f1457,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f43,f638,f166,f3539,f3543,f12,f3544,f3532,f11,f3523,f13]) ).
fof(f3552,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f3551]) ).
fof(f3551,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f2437,f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f1457,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f43,f638,f166,f3539,f3543,f12,f3544,f3532,f11,f3523]) ).
fof(f3550,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f3549]) ).
fof(f3549,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f1457,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f43,f638,f166,f3539,f3543,f12,f3544,f3532,f11,f3523]) ).
fof(f3548,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f3547]) ).
fof(f3547,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f1457,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f23,f18,f13,f43,f638,f166,f3539,f3543,f12,f3544,f3532,f11]) ).
fof(f3546,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f3545]) ).
fof(f3545,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f20,f45,f3,f64,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f438,f417,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f661,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f1218,f1204,f1335,f1457,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f17,f22,f11,f23,f18,f13,f43,f638,f166,f3539,f3543,f12,f3544,f3532]) ).
fof(f3542,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3541]) ).
fof(f3541,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f21,f16,f12,f17,f22,f11,f23,f18,f13,f1458,f1461,f3520,f3528,f3535,f166]) ).
fof(f3535,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f3534,f1461]) ).
fof(f3534,plain,
( sk_c8 = sk_c7
| sk_c7 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3533,f671]) ).
fof(f3533,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c7 = inverse(sk_c5)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f12,f1458]) ).
fof(f3528,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f3527,f1461]) ).
fof(f3527,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3526,f671]) ).
fof(f3526,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f11,f1458]) ).
fof(f3520,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f3519,f1461]) ).
fof(f3519,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3518,f671]) ).
fof(f3518,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f13,f1458]) ).
fof(f3537,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3536]) ).
fof(f3536,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f39,f159,f161,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f434,f634,f632,f409,f418,f665,f666,f668,f669,f662,f674,f675,f663,f671,f664,f4,f648,f761,f650,f813,f812,f818,f816,f819,f821,f759,f891,f893,f811,f965,f966,f958,f983,f982,f410,f2145,f2156,f658,f9,f35,f8,f14,f19,f6,f7,f166,f21,f16,f12,f17,f22,f11,f23,f18,f13,f1458,f1461,f3520,f3528,f3535]) ).
fof(f3517,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3516]) ).
fof(f3516,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f3515,f1461]) ).
fof(f3515,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f3514,f671]) ).
fof(f3340,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3338,f1617]) ).
fof(f1617,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1602,f1501]) ).
fof(f1602,plain,
( sk_c6 = inverse(identity)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f171,f1544]) ).
fof(f1544,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1521,f2]) ).
fof(f1521,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f629,f1501]) ).
fof(f3338,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3337,f2232]) ).
fof(f2232,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2215,f2]) ).
fof(f2215,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f434,f2192]) ).
fof(f2192,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f2191]) ).
fof(f2191,plain,
( identity = sk_c8
| identity = sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2190,f662]) ).
fof(f2190,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| identity = sk_c8
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2037,f1462]) ).
fof(f3337,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3336,f982]) ).
fof(f3336,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3335,f2232]) ).
fof(f3334,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3333]) ).
fof(f3333,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3332,f1617]) ).
fof(f3332,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3331,f1617]) ).
fof(f3331,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3330,f2698]) ).
fof(f2698,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2697,f1]) ).
fof(f2697,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2696,f2192]) ).
fof(f2696,plain,
( sk_c6 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2695,f1462]) ).
fof(f2695,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f744,f2192]) ).
fof(f3330,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3329,f1544]) ).
fof(f3329,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3256,f714]) ).
fof(f3256,plain,
( identity != multiply(sk_c3,identity)
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f622,f644]) ).
fof(f3328,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3327]) ).
fof(f3327,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3326,f1617]) ).
fof(f3326,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3325,f2192]) ).
fof(f3325,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3324,f39]) ).
fof(f3324,plain,
( identity != inverse(inverse(sk_c4))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3323,f982]) ).
fof(f3323,plain,
( identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3322,f2192]) ).
fof(f3321,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3320]) ).
fof(f3320,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3319,f1617]) ).
fof(f3319,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3259,f1617]) ).
fof(f3318,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3317]) ).
fof(f3317,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3316,f1617]) ).
fof(f3316,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3260,f1617]) ).
fof(f3315,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3314]) ).
fof(f3314,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3261,f1617]) ).
fof(f3313,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3312]) ).
fof(f3312,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3311,f1617]) ).
fof(f3311,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3310,f1544]) ).
fof(f3310,plain,
( identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3251,f1544]) ).
fof(f3251,plain,
( identity != sk_c3
| identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f622,f714]) ).
fof(f3309,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3308]) ).
fof(f3308,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3307,f1617]) ).
fof(f3307,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3306,f2232]) ).
fof(f3306,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3250,f2232]) ).
fof(f3305,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3304]) ).
fof(f3304,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3303,f1617]) ).
fof(f3303,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3302,f2192]) ).
fof(f3302,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3249,f2192]) ).
fof(f3301,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3300]) ).
fof(f3300,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3299,f1617]) ).
fof(f3299,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3298,f2698]) ).
fof(f3298,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3248,f2698]) ).
fof(f3248,plain,
( identity != sk_c6
| identity != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f622,f722]) ).
fof(f3297,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3296]) ).
fof(f3296,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3295,f1617]) ).
fof(f3295,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3294,f2232]) ).
fof(f3294,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3293,f982]) ).
fof(f3293,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3247,f2232]) ).
fof(f3292,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3291]) ).
fof(f3291,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3290,f1617]) ).
fof(f3290,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3289,f1617]) ).
fof(f3289,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3288,f2698]) ).
fof(f3288,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3246,f1544]) ).
fof(f3246,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f622,f629]) ).
fof(f3287,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3286]) ).
fof(f3286,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3285,f1617]) ).
fof(f3285,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3284,f2192]) ).
fof(f3284,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3283,f39]) ).
fof(f3283,plain,
( identity != inverse(inverse(sk_c4))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3282,f982]) ).
fof(f3282,plain,
( identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3245,f2192]) ).
fof(f3281,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3280]) ).
fof(f3280,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3279,f1617]) ).
fof(f3279,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3278,f1617]) ).
fof(f3278,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3277,f1617]) ).
fof(f3277,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3276,f2698]) ).
fof(f3276,plain,
( identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3244,f2698]) ).
fof(f3244,plain,
( identity != sk_c6
| identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f622,f837]) ).
fof(f3275,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3274]) ).
fof(f3274,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3273,f1617]) ).
fof(f3273,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3272,f1617]) ).
fof(f3272,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3271,f1617]) ).
fof(f3271,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3270,f1617]) ).
fof(f3270,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3269,f2698]) ).
fof(f3269,plain,
( identity != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3243,f1544]) ).
fof(f3243,plain,
( identity != sk_c3
| identity != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f622,f654]) ).
fof(f3268,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3267]) ).
fof(f3267,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3266,f1617]) ).
fof(f3266,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3265,f2232]) ).
fof(f3265,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3264,f982]) ).
fof(f3264,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3263,f39]) ).
fof(f3263,plain,
( identity != inverse(inverse(inverse(sk_c4)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3262,f982]) ).
fof(f3262,plain,
( identity != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3242,f2232]) ).
fof(f3242,plain,
( identity != sk_c4
| identity != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f622,f648]) ).
fof(f3222,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3221]) ).
fof(f3221,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3220,f1617]) ).
fof(f3220,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3219,f2232]) ).
fof(f3219,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3218,f982]) ).
fof(f3218,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3217,f2232]) ).
fof(f3215,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3214]) ).
fof(f3214,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3213,f1617]) ).
fof(f3213,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3212,f1617]) ).
fof(f3212,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3211,f2698]) ).
fof(f3211,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3210,f1544]) ).
fof(f3210,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3209,f1]) ).
fof(f3209,plain,
( identity != multiply(identity,sk_c3)
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3123,f714]) ).
fof(f3123,plain,
( identity != multiply(identity,multiply(sk_c3,identity))
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f625,f644]) ).
fof(f3208,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3206,f1617]) ).
fof(f3206,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3205,f2192]) ).
fof(f3205,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3204,f39]) ).
fof(f3204,plain,
( identity != inverse(inverse(sk_c4))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3203,f982]) ).
fof(f3203,plain,
( identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3202,f2192]) ).
fof(f3200,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3199,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3198,f1617]) ).
fof(f3198,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3197,f1617]) ).
fof(f3196,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3195]) ).
fof(f3195,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3194,f1617]) ).
fof(f3194,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3193,f1617]) ).
fof(f3192,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3191]) ).
fof(f3191,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3190,f1617]) ).
fof(f3189,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3188]) ).
fof(f3188,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3187,f1617]) ).
fof(f3187,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3186,f1544]) ).
fof(f3186,plain,
( identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3185,f1]) ).
fof(f3185,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3118,f1544]) ).
fof(f3118,plain,
( identity != multiply(identity,sk_c3)
| identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f625,f714]) ).
fof(f3184,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3183]) ).
fof(f3183,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3182,f1617]) ).
fof(f3182,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3181,f2232]) ).
fof(f3181,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3180,f1]) ).
fof(f3180,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3117,f2232]) ).
fof(f3179,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3178]) ).
fof(f3178,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3177,f1617]) ).
fof(f3177,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3176,f2192]) ).
fof(f3176,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3175,f1]) ).
fof(f3175,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3116,f2192]) ).
fof(f3174,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3173]) ).
fof(f3173,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3172,f1617]) ).
fof(f3172,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3171,f2698]) ).
fof(f3171,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3170,f1]) ).
fof(f3170,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3115,f2698]) ).
fof(f3115,plain,
( identity != multiply(identity,sk_c6)
| identity != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f625,f722]) ).
fof(f3169,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3168]) ).
fof(f3168,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3167,f1617]) ).
fof(f3167,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3166,f2232]) ).
fof(f3166,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3165,f982]) ).
fof(f3165,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3164,f2232]) ).
fof(f3163,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3162]) ).
fof(f3162,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3161,f1617]) ).
fof(f3161,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3160,f1617]) ).
fof(f3160,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3159,f2698]) ).
fof(f3159,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3158,f1544]) ).
fof(f3158,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3113,f1]) ).
fof(f3113,plain,
( identity != multiply(identity,sk_c3)
| identity != inverse(inverse(sk_c6))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f625,f629]) ).
fof(f3157,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3156]) ).
fof(f3156,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3155,f1617]) ).
fof(f3155,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3154,f2192]) ).
fof(f3154,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3153,f39]) ).
fof(f3153,plain,
( identity != inverse(inverse(sk_c4))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3152,f982]) ).
fof(f3152,plain,
( identity != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3151,f2192]) ).
fof(f3150,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3149]) ).
fof(f3149,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3148,f1617]) ).
fof(f3148,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3147,f1617]) ).
fof(f3147,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3146,f1617]) ).
fof(f3146,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3145,f2698]) ).
fof(f3145,plain,
( identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3144,f2698]) ).
fof(f3144,plain,
( identity != sk_c6
| identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3111,f1]) ).
fof(f3111,plain,
( identity != multiply(identity,sk_c6)
| identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f625,f837]) ).
fof(f3143,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3142]) ).
fof(f3142,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3141,f1617]) ).
fof(f3141,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3140,f1617]) ).
fof(f3140,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3139,f1617]) ).
fof(f3139,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3138,f1617]) ).
fof(f3138,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3137,f2698]) ).
fof(f3137,plain,
( identity != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3136,f1544]) ).
fof(f3136,plain,
( identity != sk_c3
| identity != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3110,f1]) ).
fof(f3110,plain,
( identity != multiply(identity,sk_c3)
| identity != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f625,f654]) ).
fof(f3135,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3134]) ).
fof(f3134,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3133,f1617]) ).
fof(f3133,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3132,f2232]) ).
fof(f3132,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3131,f982]) ).
fof(f3131,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3130,f39]) ).
fof(f3130,plain,
( identity != inverse(inverse(inverse(sk_c4)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3129,f982]) ).
fof(f3129,plain,
( identity != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3128,f2232]) ).
fof(f2895,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f2894]) ).
fof(f2894,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f9,f13,f35,f8,f14,f18,f23,f19,f11,f6,f22,f2886,f17,f2889,f12,f2890,f7,f16,f21,f2493,f2492,f2487,f42,f166]) ).
fof(f42,plain,
( sk_c8 != inverse(sk_c1)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f2487,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f9,f13]) ).
fof(f2492,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f9,f13,f2487,f35,f8,f14,f18]) ).
fof(f2493,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f9,f13,f2487,f35,f8,f14,f18,f2492,f23]) ).
fof(f2890,plain,
( sk_c7 = inverse(sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f16,f21,f9,f13,f2487,f35,f8,f14,f18,f2492,f23,f2493,f19,f42,f11,f6,f22,f2886,f17,f2889,f12]) ).
fof(f2889,plain,
( sk_c7 = inverse(sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f16,f21,f9,f13,f2487,f35,f8,f14,f18,f2492,f23,f2493,f19,f42,f11,f6,f22,f2886,f17]) ).
fof(f2886,plain,
( sk_c7 = inverse(sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f410,f2145,f2156,f658,f16,f21,f9,f13,f2487,f35,f8,f14,f18,f2492,f23,f2493,f19,f42,f11,f6,f22]) ).
fof(f2885,plain,
( spl0_7
| spl0_8
| spl0_7
| spl0_7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2864,f1460,f742,f738,f169,f37,f621,f621,f624,f621]) ).
fof(f2864,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2863,f2192]) ).
fof(f2863,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c8)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2862,f1462]) ).
fof(f2862,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2861,f2192]) ).
fof(f2861,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2860,f1501]) ).
fof(f2860,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2859,f2192]) ).
fof(f2859,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2858,f1462]) ).
fof(f2858,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2857,f2192]) ).
fof(f2857,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2856,f2192]) ).
fof(f2856,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2855,f1462]) ).
fof(f2855,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2854,f1501]) ).
fof(f2854,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2853,f2192]) ).
fof(f2853,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2852,f2192]) ).
fof(f2852,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2851,f2192]) ).
fof(f2851,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2850,f1462]) ).
fof(f2850,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2488,f1501]) ).
fof(f2488,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f747,f756,f755,f758,f757,f769,f748,f776,f768,f900,f901,f744,f1338,f1421,f1422,f410,f2145,f2156,f658,f16,f21,f1339,f2102,f740,f6,f11,f19,f23,f18,f14,f8,f9,f2486,f13,f35]) ).
fof(f2484,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2483,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031,f848,f743]) ).
fof(f2482,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2481,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031,f848]) ).
fof(f2480,plain,
( ~ spl0_1
| spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2479]) ).
fof(f2479,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f850,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031]) ).
fof(f850,plain,
( multiply(sk_c4,sk_c7) = sk_c2
| ~ spl0_1
| spl0_10 ),
inference(superposition,[],[f664,f848]) ).
fof(f2478,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2477,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f1286,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031]) ).
fof(f1286,plain,
( sk_c6 = sk_c7
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1246,f837]) ).
fof(f1246,plain,
( sk_c7 = multiply(inverse(inverse(sk_c6)),identity)
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f755,f1230]) ).
fof(f2476,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f2474,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031]) ).
fof(f2474,plain,
( identity = sk_c8
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1229,f713]) ).
fof(f2473,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2472]) ).
fof(f2472,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1230,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031]) ).
fof(f2471,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2470,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9,f1031]) ).
fof(f2469,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2468,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1262,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1262,plain,
( sk_c4 = inverse(identity)
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f982,f1230]) ).
fof(f2467,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2466,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1233,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1233,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f159,f1230]) ).
fof(f2465,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2464,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1266,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1266,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1235,f409]) ).
fof(f1235,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f418,f1230]) ).
fof(f2463,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2462,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1267,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1267,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1236,f2]) ).
fof(f1236,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f434,f1230]) ).
fof(f2461,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2460]) ).
fof(f2460,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1240,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1240,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f662,f1230]) ).
fof(f2459,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2458,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1304,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1304,plain,
( sk_c7 = sk_c2
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1253,f409]) ).
fof(f1253,plain,
( sk_c2 = multiply(inverse(identity),sk_c7)
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f851,f1230]) ).
fof(f2457,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2456,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1244,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1244,plain,
( sk_c6 != multiply(sk_c7,identity)
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f743,f1230]) ).
fof(f2455,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2454]) ).
fof(f2454,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1275,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1275,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1241,f1]) ).
fof(f1241,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f664,f1230]) ).
fof(f2453,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2452]) ).
fof(f2452,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f1276,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f2451,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2450]) ).
fof(f2450,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1252,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1252,plain,
( sk_c7 = multiply(identity,sk_c2)
| ~ spl0_6
| spl0_10 ),
inference(superposition,[],[f848,f1230]) ).
fof(f2449,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2448]) ).
fof(f2448,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f1317,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f1317,plain,
( sk_c5 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1257,f1]) ).
fof(f1257,plain,
( sk_c3 = multiply(identity,sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f915,f1230]) ).
fof(f2447,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
fof(f2446,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1333,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f2445,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2444]) ).
fof(f2444,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13,f9]) ).
fof(f2443,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2442,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35,f13]) ).
fof(f2441,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2440]) ).
fof(f2440,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8,f35]) ).
fof(f2439,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2438,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f2437,f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8]) ).
fof(f2436,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2435,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14,f8]) ).
fof(f2434,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2433]) ).
fof(f2433,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18,f14]) ).
fof(f2432,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2431,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23,f18]) ).
fof(f2430,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2429]) ).
fof(f2429,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19,f23]) ).
fof(f2428,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2427]) ).
fof(f2427,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42,f19]) ).
fof(f2426,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2425]) ).
fof(f2425,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f6,f11,f42]) ).
fof(f2424,plain,
( spl0_2
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2423]) ).
fof(f2423,plain,
( $false
| spl0_2
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1461,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f6,f11]) ).
fof(f2422,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
fof(f2421,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f2037,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f6,f11]) ).
fof(f2420,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2419]) ).
fof(f2419,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f6,f11]) ).
fof(f2418,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2417]) ).
fof(f2417,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f2416,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2415]) ).
fof(f2415,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f921,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f921,plain,
( sk_c5 = multiply(sk_c4,sk_c3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f664,f915]) ).
fof(f2414,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2413]) ).
fof(f2413,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f915,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f2412,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2411]) ).
fof(f2411,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f785,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f785,plain,
( sk_c4 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f691,f780]) ).
fof(f780,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f773,f722]) ).
fof(f773,plain,
( multiply(sk_c6,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f748,f159]) ).
fof(f2410,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2409,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f780,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f2408,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2407,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f746,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f2406,plain,
( spl0_2
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2405]) ).
fof(f2405,plain,
( $false
| spl0_2
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f740,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f409,f4,f743,f848,f851,f862,f861,f868,f867,f880,f881,f852,f884,f13,f9,f410,f2145,f2156,f658,f16,f21,f42,f11,f6]) ).
fof(f2404,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f740,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2402,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2401]) ).
fof(f2401,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f746,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2400,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2399,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1340,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2398,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2397]) ).
fof(f2397,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1341,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1341,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1337,f785]) ).
fof(f2396,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2395,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1348,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1348,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f39,f1341]) ).
fof(f2394,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2393]) ).
fof(f2393,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1417,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1417,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1338,f786]) ).
fof(f786,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f61,f780]) ).
fof(f2392,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2391,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f780,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2390,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2389]) ).
fof(f2389,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1419,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1419,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f786,f1338]) ).
fof(f2388,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f2386,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2386,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f785,f1337]) ).
fof(f2385,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2384]) ).
fof(f2384,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1401,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1401,plain,
( sk_c8 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f664,f1340]) ).
fof(f2383,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2382]) ).
fof(f2382,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1360,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1360,plain,
( sk_c5 = multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f921,f1341]) ).
fof(f2381,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2380]) ).
fof(f2380,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f915,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2379,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2378,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1406,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f1406,plain,
( sk_c8 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1402,f982]) ).
fof(f1402,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f61,f1340]) ).
fof(f2377,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2376]) ).
fof(f2376,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f921,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2375,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2374,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f1339,f42,f1461,f2005,f2102,f11,f2204,f6]) ).
fof(f2373,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2372]) ).
fof(f2372,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f1339,f42,f1461,f2005,f2102,f11,f2204]) ).
fof(f2371,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2370]) ).
fof(f2370,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f1339,f42,f1461,f2005,f2102,f11]) ).
fof(f2369,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2368]) ).
fof(f2368,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f2037,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f11,f1339,f42,f1461,f2005,f2102]) ).
fof(f2367,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f2350,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f11,f1339,f42,f1461,f2005,f2102]) ).
fof(f2365,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2364,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f11,f1339,f42,f1461,f2005,f2102]) ).
fof(f2363,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2362]) ).
fof(f2362,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f11,f1339,f2102,f42,f1461,f2005]) ).
fof(f2361,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2360]) ).
fof(f2360,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f11,f1339,f2102,f2005,f42,f1461]) ).
fof(f2359,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2358]) ).
fof(f2358,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f6,f2204,f11,f1339,f2102,f2005,f1461,f42]) ).
fof(f2357,plain,
( spl0_2
| ~ spl0_5
| spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2356,plain,
( $false
| spl0_2
| ~ spl0_5
| spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f42,f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f739,f6,f2346,f2204,f2347,f11,f2348,f1339,f2102,f2352,f2005,f2353,f1461]) ).
fof(f2353,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f739,f6,f2346,f2204,f2347,f11,f2348,f1339,f2102,f2352,f2005]) ).
fof(f2347,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f11,f9,f744,f1339,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f739,f6,f2346,f2204]) ).
fof(f2355,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2354]) ).
fof(f2354,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f22,f19,f23,f1,f2,f20,f3,f27,f25,f17,f15,f12,f10,f7,f5,f30,f32,f167,f173,f175,f61,f412,f423,f35,f28,f26,f24,f18,f14,f8,f33,f31,f29,f436,f637,f635,f409,f419,f692,f693,f695,f696,f689,f701,f702,f690,f698,f691,f4,f651,f764,f653,f826,f825,f831,f829,f832,f834,f762,f894,f896,f823,f1020,f1019,f13,f9,f744,f1337,f1343,f1338,f1421,f1422,f1012,f1429,f1428,f410,f2145,f2156,f2182,f658,f1346,f2344,f16,f2345,f21,f739,f6,f2346,f2204,f2347,f11,f2348,f1339,f2102,f2352,f2005,f2353,f1461]) ).
fof(f2343,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2342]) ).
fof(f2342,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2341,f1]) ).
fof(f2341,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2340,f2236]) ).
fof(f2236,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2235,f1]) ).
fof(f2235,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2234,f2192]) ).
fof(f2234,plain,
( sk_c6 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2222,f1462]) ).
fof(f2222,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f744,f2192]) ).
fof(f2340,plain,
( identity != multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2209,f2192]) ).
fof(f2181,plain,
( spl0_7
| spl0_8
| spl0_7
| spl0_7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2118,f1460,f1456,f742,f738,f169,f165,f41,f37,f621,f621,f624,f621]) ).
fof(f2118,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2117,f1663]) ).
fof(f1663,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1662,f1340]) ).
fof(f1662,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1661,f1462]) ).
fof(f1661,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1409,f1457]) ).
fof(f1409,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1204,f1341]) ).
fof(f2117,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c8)
| identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2116,f1462]) ).
fof(f2116,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2115,f1663]) ).
fof(f2115,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X5,identity)
| identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2114,f1501]) ).
fof(f2114,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2113,f1663]) ).
fof(f2113,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2112,f1462]) ).
fof(f2112,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(identity,multiply(X4,identity))
| identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2111,f1663]) ).
fof(f2111,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2110,f1663]) ).
fof(f2110,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2109,f1462]) ).
fof(f2109,plain,
( ! [X6,X7,X4,X5] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2108,f1501]) ).
fof(f2108,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2107,f1663]) ).
fof(f2107,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2106,f1663]) ).
fof(f2106,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2105,f1663]) ).
fof(f2105,plain,
( ! [X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| identity != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2104,f1462]) ).
fof(f2104,plain,
( ! [X6,X7,X4,X5] :
( identity != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2103,f1501]) ).
fof(f2103,plain,
( ! [X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2102,f740]) ).
fof(f1463,plain,
( spl0_11
| spl0_12
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1454,f742,f165,f41,f37,f1460,f1456]) ).
fof(f1454,plain,
( sk_c8 = sk_c7
| identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1218,f1337]) ).
fof(f1332,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1331,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1263,f1]) ).
fof(f1263,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f1206,f1230]) ).
fof(f1206,plain,
( identity != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1054,f1087]) ).
fof(f1087,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1061,f159]) ).
fof(f1061,plain,
( sk_c6 = multiply(sk_c8,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f780,f1043]) ).
fof(f1043,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(forward_demodulation,[],[f1038,f671]) ).
fof(f1038,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(superposition,[],[f848,f1033]) ).
fof(f1033,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(forward_demodulation,[],[f1032,f662]) ).
fof(f1032,plain,
( sk_c2 = multiply(sk_c4,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(forward_demodulation,[],[f1031,f638]) ).
fof(f1054,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(superposition,[],[f743,f1043]) ).
fof(f1282,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1280,f1087]) ).
fof(f1280,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1279,f1]) ).
fof(f1279,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1278,f1230]) ).
fof(f1278,plain,
( sk_c6 != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f1244,f1043]) ).
fof(f745,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f4,f742,f738]) ).
fof(f626,plain,
( spl0_7
| spl0_8
| spl0_7
| spl0_7
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f609,f169,f165,f37,f621,f621,f624,f621]) ).
fof(f172,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f169,f165]) ).
fof(f158,plain,
( spl0_3
| spl0_4
| spl0_3
| spl0_3
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f117,f41,f37,f153,f153,f156,f153]) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f41,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP367-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:48:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (10676)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (10681)WARNING: value z3 for option sas not known
% 0.16/0.38 % (10682)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (10680)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (10683)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.38 % (10681)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (10684)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38 % (10679)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (10685)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [4]
% 0.22/0.46 TRYING [6]
% 0.22/0.50 TRYING [5]
% 0.22/0.54 TRYING [7]
% 0.22/0.56 % (10681)First to succeed.
% 0.22/0.58 % (10681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10676"
% 0.22/0.58 % (10681)Refutation found. Thanks to Tanya!
% 0.22/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59 % (10681)------------------------------
% 0.22/0.59 % (10681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.59 % (10681)Termination reason: Refutation
% 0.22/0.59
% 0.22/0.59 % (10681)Memory used [KB]: 2520
% 0.22/0.59 % (10681)Time elapsed: 0.199 s
% 0.22/0.59 % (10681)Instructions burned: 450 (million)
% 0.22/0.59 % (10676)Success in time 0.226 s
%------------------------------------------------------------------------------